Index

_ | A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | X | Z

_

__classcall__() (sage.categories.category.Category static method)
(sage.categories.category_with_axiom.CategoryWithAxiom static method)
__classget__() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
__init__() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_all_super_categories() (sage.categories.category.Category method)
_all_super_categories_proper() (sage.categories.category.Category method)
_make_named_class() (sage.categories.category.Category method)
(sage.categories.category.CategoryWithParameters method)
_repr_() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
_repr_object_names() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
_repr_object_names_static() (sage.categories.category_with_axiom.CategoryWithAxiom static method)
_set_of_super_categories() (sage.categories.category.Category method)
_sort() (sage.categories.category.Category static method)
_sort_uniq() (sage.categories.category.Category method)
_super_categories() (sage.categories.category.Category method)
_super_categories_for_classes() (sage.categories.category.Category method)
_test_category() (sage.categories.category.Category method)
_test_category_with_axiom() (sage.categories.category_with_axiom.CategoryWithAxiom method)
_with_axiom() (sage.categories.category.Category method)
_with_axiom_as_tuple() (sage.categories.category.Category method)
_without_axioms() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)

A

a_realization() (sage.categories.examples.with_realizations.SubsetAlgebra method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
AbelianCategory (class in sage.categories.category_types)
absolute_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
absolute_length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
act() (sage.categories.action.Action method)
Action (class in sage.categories.action)
ActionEndomorphism (class in sage.categories.action)
actor() (sage.categories.action.Action method)
addition_table() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
additive_semigroup_generators() (sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
AdditiveAssociative (sage.categories.additive_magmas.AdditiveMagmas attribute)
AdditiveAssociative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveCommutative (sage.categories.additive_groups.AdditiveGroups attribute)
(sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveCommutative() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
AdditiveGroups (class in sage.categories.additive_groups)
AdditiveInverse (sage.categories.additive_monoids.AdditiveMonoids attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
AdditiveInverse() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.SubcategoryMethods method)
AdditiveMagmas (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveCommutative.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations (class in sage.categories.additive_magmas)
AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras (class in sage.categories.additive_magmas)
AdditiveMagmas.Algebras.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts (class in sage.categories.additive_magmas)
AdditiveMagmas.CartesianProducts.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.ElementMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.ParentMethods (class in sage.categories.additive_magmas)
AdditiveMagmas.SubcategoryMethods (class in sage.categories.additive_magmas)
AdditiveMonoids (class in sage.categories.additive_monoids)
AdditiveMonoids.ParentMethods (class in sage.categories.additive_monoids)
AdditiveSemigroups (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras (class in sage.categories.additive_semigroups)
AdditiveSemigroups.Algebras.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveSemigroups.CartesianProducts (class in sage.categories.additive_semigroups)
AdditiveSemigroups.ParentMethods (class in sage.categories.additive_semigroups)
AdditiveUnital (sage.categories.additive_semigroups.AdditiveSemigroups attribute)
AdditiveUnital() (sage.categories.additive_magmas.AdditiveMagmas.SubcategoryMethods method)
affine_grassmannian_elements_of_given_length() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
affine_grassmannian_to_core() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
affine_grassmannian_to_partition() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
AffineWeylGroups (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ElementMethods (class in sage.categories.affine_weyl_groups)
AffineWeylGroups.ParentMethods (class in sage.categories.affine_weyl_groups)
algebra() (sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.sets_cat.Sets.ParentMethods method)
algebra_generators() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
AlgebraFunctor (class in sage.categories.algebra_functor)
AlgebraicClosureFunctor (class in sage.categories.pushout)
AlgebraicExtensionFunctor (class in sage.categories.pushout)
AlgebraIdeals (class in sage.categories.algebra_ideals)
AlgebraModules (class in sage.categories.algebra_modules)
Algebras (class in sage.categories.algebras)
(sage.categories.coxeter_groups.CoxeterGroups attribute)
Algebras() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Algebras.CartesianProducts (class in sage.categories.algebras)
Algebras.DualObjects (class in sage.categories.algebras)
Algebras.ElementMethods (class in sage.categories.algebras)
Algebras.TensorProducts (class in sage.categories.algebras)
Algebras.TensorProducts.ElementMethods (class in sage.categories.algebras)
Algebras.TensorProducts.ParentMethods (class in sage.categories.algebras)
AlgebrasCategory (class in sage.categories.algebra_functor)
AlgebrasWithBasis (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.CartesianProducts.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.ParentMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.algebras_with_basis)
AlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.algebras_with_basis)
all_super_categories() (sage.categories.category.Category method)
ambient() (sage.categories.category_types.Category_in_ambient method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.IncompleteSubquotientSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
an_element() (sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
an_instance() (sage.categories.algebra_modules.AlgebraModules class method)
(sage.categories.bimodules.Bimodules class method)
(sage.categories.category.Category class method)
(sage.categories.category_types.Category_ideal class method)
(sage.categories.category_types.Category_over_base class method)
(sage.categories.category_types.Elements class method)
(sage.categories.category_types.Sequences class method)
(sage.categories.g_sets.GSets class method)
(sage.categories.groupoid.Groupoid class method)
antichains() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
antipode() (sage.categories.hopf_algebras.HopfAlgebras.ElementMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
antipode_by_coercion() (sage.categories.hopf_algebras.HopfAlgebras.Realizations.ParentMethods method)
antipode_on_basis() (sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.ParentMethods method)
apply_conjugation_by_simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_multilinear_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts.ElementMethods method)
apply_simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection_left() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
apply_simple_reflection_right() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
apply_simple_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Associative (sage.categories.magmas.Magmas attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
Associative() (sage.categories.magmas.Magmas.SubcategoryMethods method)
AssociativeAlgebras (class in sage.categories.associative_algebras)
AssociativeAlgebras.ElementMethods (class in sage.categories.associative_algebras)
axiom() (in module sage.categories.category_with_axiom)
axiom_of_nested_class() (in module sage.categories.category_with_axiom)
axioms() (sage.categories.category.Category method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)

B

Bars (class in sage.categories.category_with_axiom)
base() (sage.categories.category.HomCategory method)
(sage.categories.category_types.Category_over_base method)
(sage.categories.tensor.TensorProductsCategory method)
base_category() (sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
base_category_class_and_axiom() (in module sage.categories.category_with_axiom)
base_field() (sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.vector_spaces.VectorSpaces method)
base_ring() (sage.categories.algebra_functor.AlgebraFunctor method)
(sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.category_types.Category_over_base_ring method)
(sage.categories.hecke_modules.HeckeModules.HomCategory method)
(sage.categories.modules.Modules.HomCategory.ParentMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
base_scheme() (sage.categories.schemes.Schemes_over_base method)
base_set() (sage.categories.examples.with_realizations.SubsetAlgebra method)
basis() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ParentMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
Bialgebras (class in sage.categories.bialgebras)
Bialgebras.ElementMethods (class in sage.categories.bialgebras)
Bialgebras.ParentMethods (class in sage.categories.bialgebras)
BialgebrasWithBasis() (in module sage.categories.bialgebras_with_basis)
Bimodules (class in sage.categories.bimodules)
Bimodules.ElementMethods (class in sage.categories.bimodules)
Bimodules.ParentMethods (class in sage.categories.bimodules)
binary_factorizations() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
birational_free_labelling() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggle() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
birational_toggles() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
BlackBoxConstructionFunctor (class in sage.categories.pushout)
Blahs (class in sage.categories.category_with_axiom)
Blahs.Commutative (class in sage.categories.category_with_axiom)
Blahs.Connected (class in sage.categories.category_with_axiom)
Blahs.FiniteDimensional (class in sage.categories.category_with_axiom)
Blahs.Flying (class in sage.categories.category_with_axiom)
Blahs.SubcategoryMethods (class in sage.categories.category_with_axiom)
Blahs.Unital (class in sage.categories.category_with_axiom)
Blahs.Unital.Blue (class in sage.categories.category_with_axiom)
Blue() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
Blue_extra_super_categories() (sage.categories.category_with_axiom.Blahs method)
bracket() (sage.categories.rings.Rings.ParentMethods method)
bruhat_interval() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
bruhat_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_lower_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_lower_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
bruhat_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
bruhat_upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ElementMethods method)
bruhat_upper_covers_coroots() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
bruhat_upper_covers_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)

C

CallMorphism (class in sage.categories.morphism)
canonical_matrix() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
canonical_representation() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
cardinality() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
cartan_type() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
cartesian_factors() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
cartesian_product (in module sage.categories.cartesian_product)
cartesian_product() (sage.categories.sets_cat.Sets.ElementMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
cartesian_projection() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
(sage.categories.sets_cat.Sets.CartesianProducts.ParentMethods method)
CartesianProduct (sage.categories.sets_cat.Sets.ParentMethods attribute)
CartesianProductFunctor (class in sage.categories.cartesian_product)
CartesianProducts() (sage.categories.cartesian_product.CartesianProductsCategory method)
(sage.categories.sets_cat.Sets.SubcategoryMethods method)
CartesianProductsCategory (class in sage.categories.cartesian_product)
Category (class in sage.categories.category)
category() (sage.categories.category.Category method)
(sage.categories.morphism.Morphism method)
Category_contains_method_by_parent_class (class in sage.categories.category_singleton)
category_for() (sage.categories.map.Map method)
category_from_categories() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_category() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_from_parents() (sage.categories.covariant_functorial_construction.CovariantFunctorialConstruction method)
category_graph() (in module sage.categories.category)
(sage.categories.category.Category method)
Category_ideal (class in sage.categories.category_types)
Category_in_ambient (class in sage.categories.category_types)
Category_module (class in sage.categories.category_types)
category_of() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
Category_over_base (class in sage.categories.category_types)
Category_over_base_ring (class in sage.categories.category_types)
Category_realization_of_parent (class in sage.categories.realizations)
category_sample() (in module sage.categories.category)
Category_singleton (class in sage.categories.category_singleton)
CategoryWithAxiom (class in sage.categories.category_with_axiom)
CategoryWithAxiom_over_base_ring (class in sage.categories.category_with_axiom)
CategoryWithAxiom_singleton (class in sage.categories.category_with_axiom)
CategoryWithParameters (class in sage.categories.category)
cayley_graph() (sage.categories.semigroups.Semigroups.ParentMethods method)
cayley_graph_disabled() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
cayley_table() (sage.categories.groups.Groups.ParentMethods method)
center() (sage.categories.groups.Groups.Algebras.ParentMethods method)
central_form() (sage.categories.groups.Groups.Algebras.ElementMethods method)
ChainComplexes (class in sage.categories.category_types)
character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
characteristic() (sage.categories.rings.Rings.ParentMethods method)
ClassicalCrystals (class in sage.categories.classical_crystals)
ClassicalCrystals.ElementMethods (class in sage.categories.classical_crystals)
ClassicalCrystals.ParentMethods (class in sage.categories.classical_crystals)
co_kernel_projection() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
co_reduced() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
Coalgebras (class in sage.categories.coalgebras)
Coalgebras.DualObjects (class in sage.categories.coalgebras)
Coalgebras.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.Realizations (class in sage.categories.coalgebras)
Coalgebras.Realizations.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.TensorProducts (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ElementMethods (class in sage.categories.coalgebras)
Coalgebras.TensorProducts.ParentMethods (class in sage.categories.coalgebras)
Coalgebras.WithRealizations (class in sage.categories.coalgebras)
Coalgebras.WithRealizations.ParentMethods (class in sage.categories.coalgebras)
CoalgebrasWithBasis (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ElementMethods (class in sage.categories.coalgebras_with_basis)
CoalgebrasWithBasis.ParentMethods (class in sage.categories.coalgebras_with_basis)
codomain (sage.categories.map.Map attribute)
codomain() (sage.categories.action.Action method)
(sage.categories.action.InverseAction method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
coerce_map_from_c() (sage.categories.homset.Homset method)
Commutative (sage.categories.algebras.Algebras attribute)
(sage.categories.division_rings.DivisionRings attribute)
(sage.categories.domains.Domains attribute)
(sage.categories.rings.Rings attribute)
Commutative() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
CommutativeAdditiveGroups (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.Algebras (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveGroups.CartesianProducts (class in sage.categories.commutative_additive_groups)
CommutativeAdditiveMonoids (class in sage.categories.commutative_additive_monoids)
CommutativeAdditiveSemigroups (class in sage.categories.commutative_additive_semigroups)
CommutativeAlgebraIdeals (class in sage.categories.commutative_algebra_ideals)
CommutativeAlgebras (class in sage.categories.commutative_algebras)
CommutativeRingIdeals (class in sage.categories.commutative_ring_ideals)
CommutativeRings (class in sage.categories.commutative_rings)
CommutativeRings.ElementMethods (class in sage.categories.commutative_rings)
CommutativeRings.Finite (class in sage.categories.commutative_rings)
CommutativeRings.Finite.ParentMethods (class in sage.categories.commutative_rings)
commutes() (sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
CompletionFunctor (class in sage.categories.pushout)
CompositeConstructionFunctor (class in sage.categories.pushout)
conjugacy_class() (sage.categories.finite_groups.FiniteGroups.ElementMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
conjugacy_classes_representatives() (sage.categories.finite_groups.FiniteGroups.ParentMethods method)
Connected() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.graded_modules.GradedModules.SubcategoryMethods method)
construction_tower() (in module sage.categories.pushout)
ConstructionFunctor (class in sage.categories.pushout)
coproduct() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
coproduct_by_coercion() (sage.categories.coalgebras.Coalgebras.Realizations.ParentMethods method)
coproduct_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
coset_representative() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
counit() (sage.categories.coalgebras.Coalgebras.ElementMethods method)
(sage.categories.coalgebras.Coalgebras.ParentMethods method)
(sage.categories.coalgebras.Coalgebras.WithRealizations.ParentMethods method)
(sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
counit_on_basis() (sage.categories.coalgebras_with_basis.CoalgebrasWithBasis.ParentMethods method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.groups.Groups.Algebras.ParentMethods method)
CovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
CovariantFunctorialConstruction (class in sage.categories.covariant_functorial_construction)
cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
CoxeterGroups (class in sage.categories.coxeter_groups)
CoxeterGroups.ElementMethods (class in sage.categories.coxeter_groups)
CoxeterGroups.ParentMethods (class in sage.categories.coxeter_groups)
crystal_morphism() (sage.categories.crystals.Crystals.ParentMethods method)
Crystals (class in sage.categories.crystals)
Crystals.ElementMethods (class in sage.categories.crystals)
Crystals.ParentMethods (class in sage.categories.crystals)
cycle_index() (sage.categories.finite_permutation_groups.FinitePermutationGroups.ParentMethods method)
cyclotomic_cosets() (sage.categories.commutative_rings.CommutativeRings.Finite.ParentMethods method)

D

default_super_categories() (sage.categories.covariant_functorial_construction.CovariantConstructionCategory class method)
(sage.categories.covariant_functorial_construction.RegressiveCovariantConstructionCategory class method)
(sage.categories.isomorphic_objects.IsomorphicObjectsCategory class method)
(sage.categories.quotients.QuotientsCategory class method)
(sage.categories.subobjects.SubobjectsCategory class method)
degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
demazure_character() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
demazure_operator() (sage.categories.regular_crystals.RegularCrystals.ParentMethods method)
demazure_operator_simple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
demazure_product() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
denominator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
deodhar_factor_element() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_down() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
deodhar_lift_up() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
derivative() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
descents() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
DiagonalModuleMorphism (class in sage.categories.modules_with_basis)
digraph() (sage.categories.crystals.Crystals.ParentMethods method)
DihedralGroup (class in sage.categories.examples.finite_coxeter_groups)
DihedralGroup.Element (class in sage.categories.examples.finite_coxeter_groups)
directed_subset() (sage.categories.posets.Posets.ParentMethods method)
directed_subsets() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
Distributive (sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas attribute)
Distributive() (sage.categories.magmas.Magmas.SubcategoryMethods method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas.SubcategoryMethods method)
DistributiveMagmasAndAdditiveMagmas (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.CartesianProducts (class in sage.categories.distributive_magmas_and_additive_magmas)
DistributiveMagmasAndAdditiveMagmas.ParentMethods (class in sage.categories.distributive_magmas_and_additive_magmas)
Division (sage.categories.rings.Rings attribute)
Division() (sage.categories.rings.Rings.SubcategoryMethods method)
DivisionRings (class in sage.categories.division_rings)
DivisionRings.ElementMethods (class in sage.categories.division_rings)
DivisionRings.ParentMethods (class in sage.categories.division_rings)
domain (sage.categories.map.Map attribute)
domain() (sage.categories.action.Action method)
(sage.categories.action.PrecomposedAction method)
(sage.categories.functor.Functor method)
(sage.categories.homset.Homset method)
Domains (class in sage.categories.domains)
Domains.ElementMethods (class in sage.categories.domains)
Domains.ParentMethods (class in sage.categories.domains)
dot_tex() (sage.categories.crystals.Crystals.ParentMethods method)
dual() (sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.modules.Modules.SubcategoryMethods method)
DualFunctor (class in sage.categories.dual)
DualObjects() (sage.categories.modules.Modules.SubcategoryMethods method)
DualObjectsCategory (class in sage.categories.dual)

E

e() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
e_string() (sage.categories.crystals.Crystals.ElementMethods method)
Element (sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers attribute)
(sage.categories.examples.semigroups_cython.LeftZeroSemigroup attribute)
element_class (sage.categories.examples.sets_cat.PrimeNumbers attribute)
(sage.categories.examples.sets_cat.PrimeNumbers_Facade attribute)
element_class() (sage.categories.category.Category method)
element_class_set_morphism() (sage.categories.homset.Homset method)
ElementMethods (sage.categories.examples.semigroups_cython.IdempotentSemigroups attribute)
Elements (class in sage.categories.category_types)
elements_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
ElementWrapper (sage.categories.examples.sets_cat.PrimeNumbers_Wrapper attribute)
EmptySetError
End() (in module sage.categories.homset)
end() (in module sage.categories.homset)
EnumeratedSets (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts (class in sage.categories.enumerated_sets)
EnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ElementMethods (class in sage.categories.enumerated_sets)
EnumeratedSets.ParentMethods (class in sage.categories.enumerated_sets)
epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
Epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
epsilon() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
euclidean_degree() (sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
EuclideanDomains (class in sage.categories.euclidean_domains)
EuclideanDomains.ElementMethods (class in sage.categories.euclidean_domains)
EuclideanDomains.ParentMethods (class in sage.categories.euclidean_domains)
Example (class in sage.categories.examples.finite_enumerated_sets)
(in module sage.categories.examples.algebras_with_basis)
(in module sage.categories.examples.commutative_additive_monoids)
(in module sage.categories.examples.commutative_additive_semigroups)
(in module sage.categories.examples.finite_coxeter_groups)
(in module sage.categories.examples.finite_monoids)
(in module sage.categories.examples.finite_semigroups)
(in module sage.categories.examples.finite_weyl_groups)
(in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.monoids)
(in module sage.categories.examples.sets_with_grading)
example() (sage.categories.algebras_with_basis.AlgebrasWithBasis method)
(sage.categories.category.Category method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.crystals.Crystals method)
(sage.categories.facade_sets.FacadeSets method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.IsomorphicObjects method)
(sage.categories.finite_groups.FiniteGroups method)
(sage.categories.finite_permutation_groups.FinitePermutationGroups method)
(sage.categories.groups.Groups method)
(sage.categories.groups.Groups.Algebras method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.posets.Posets method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.semigroups.Semigroups method)
(sage.categories.semigroups.Semigroups.Quotients method)
(sage.categories.semigroups.Semigroups.Subquotients method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
expand() (sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompositeConstructionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
extend_codomain() (sage.categories.map.Map method)
extend_domain() (sage.categories.map.Map method)
extra_super_categories() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveCommutative.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.AdditiveInverse.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts method)
(sage.categories.additive_magmas.AdditiveMagmas.Algebras method)
(sage.categories.additive_magmas.AdditiveMagmas.CartesianProducts method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras method)
(sage.categories.additive_semigroups.AdditiveSemigroups.CartesianProducts method)
(sage.categories.algebras.Algebras.CartesianProducts method)
(sage.categories.algebras.Algebras.DualObjects method)
(sage.categories.algebras.Algebras.TensorProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts method)
(sage.categories.category.HomCategory method)
(sage.categories.category_with_axiom.Blahs.Flying method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.coalgebras.Coalgebras.DualObjects method)
(sage.categories.coalgebras.Coalgebras.TensorProducts method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.CartesianProducts method)
(sage.categories.division_rings.DivisionRings method)
(sage.categories.fields.Fields method)
(sage.categories.finite_crystals.FiniteCrystals method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.CartesianProducts method)
(sage.categories.finite_semigroups.FiniteSemigroups method)
(sage.categories.finite_sets.FiniteSets.Algebras method)
(sage.categories.finite_sets.FiniteSets.Subquotients method)
(sage.categories.graded_modules.GradedModules method)
(sage.categories.groups.Groups.Algebras method)
(sage.categories.groups.Groups.CartesianProducts method)
(sage.categories.hecke_modules.HeckeModules.HomCategory method)
(sage.categories.hopf_algebras.HopfAlgebras.TensorProducts method)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis.TensorProducts method)
(sage.categories.magmas.Magmas.Algebras method)
(sage.categories.magmas.Magmas.CartesianProducts method)
(sage.categories.magmas.Magmas.Commutative.Algebras method)
(sage.categories.magmas.Magmas.Unital.Algebras method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts method)
(sage.categories.magmas.Magmas.Unital.Inverse.CartesianProducts method)
(sage.categories.modules.Modules.EndCategory method)
(sage.categories.modules.Modules.FiniteDimensional method)
(sage.categories.modules.Modules.HomCategory method)
(sage.categories.modules_with_basis.ModulesWithBasis.CartesianProducts method)
(sage.categories.modules_with_basis.ModulesWithBasis.DualObjects method)
(sage.categories.modules_with_basis.ModulesWithBasis.TensorProducts method)
(sage.categories.monoids.Monoids.Algebras method)
(sage.categories.monoids.Monoids.CartesianProducts method)
(sage.categories.objects.Objects.HomCategory method)
(sage.categories.schemes.Schemes.HomCategory method)
(sage.categories.semigroups.Semigroups.Algebras method)
(sage.categories.semigroups.Semigroups.CartesianProducts method)
(sage.categories.sets_cat.Sets.Algebras method)
(sage.categories.sets_cat.Sets.CartesianProducts method)
(sage.categories.sets_cat.Sets.WithRealizations method)
(sage.categories.vector_spaces.VectorSpaces.DualObjects method)

F

f() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.examples.crystals.HighestWeightCrystalOfTypeA.Element method)
(sage.categories.examples.crystals.NaiveCrystal.Element method)
f_string() (sage.categories.crystals.Crystals.ElementMethods method)
Facade (sage.categories.sets_cat.Sets attribute)
Facade() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
Facades() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
FacadeSets (class in sage.categories.facade_sets)
FacadeSets.ParentMethods (class in sage.categories.facade_sets)
factor() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
Fields (class in sage.categories.fields)
Fields.ElementMethods (class in sage.categories.fields)
Fields.ParentMethods (class in sage.categories.fields)
Finite (sage.categories.coxeter_groups.CoxeterGroups attribute)
(sage.categories.crystals.Crystals attribute)
(sage.categories.enumerated_sets.EnumeratedSets attribute)
(sage.categories.fields.Fields attribute)
(sage.categories.groups.Groups attribute)
(sage.categories.lattice_posets.LatticePosets attribute)
(sage.categories.monoids.Monoids attribute)
(sage.categories.permutation_groups.PermutationGroups attribute)
(sage.categories.posets.Posets attribute)
(sage.categories.semigroups.Semigroups attribute)
(sage.categories.sets_cat.Sets attribute)
(sage.categories.weyl_groups.WeylGroups attribute)
Finite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
Finite_extra_super_categories() (sage.categories.division_rings.DivisionRings method)
FiniteCoxeterGroups (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ElementMethods (class in sage.categories.finite_coxeter_groups)
FiniteCoxeterGroups.ParentMethods (class in sage.categories.finite_coxeter_groups)
FiniteCrystals (class in sage.categories.finite_crystals)
FiniteDimensional (sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
FiniteDimensional() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.modules.Modules.SubcategoryMethods method)
FiniteDimensionalAlgebrasWithBasis (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_algebras_with_basis)
FiniteDimensionalBialgebrasWithBasis() (in module sage.categories.finite_dimensional_bialgebras_with_basis)
FiniteDimensionalCoalgebrasWithBasis() (in module sage.categories.finite_dimensional_coalgebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalModulesWithBasis (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ElementMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalModulesWithBasis.ParentMethods (class in sage.categories.finite_dimensional_modules_with_basis)
FiniteEnumeratedSets (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.CartesianProducts.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.IsomorphicObjects.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteEnumeratedSets.ParentMethods (class in sage.categories.finite_enumerated_sets)
FiniteFields (class in sage.categories.finite_fields)
FiniteFields.ElementMethods (class in sage.categories.finite_fields)
FiniteFields.ParentMethods (class in sage.categories.finite_fields)
FiniteGroups (class in sage.categories.finite_groups)
FiniteGroups.ElementMethods (class in sage.categories.finite_groups)
FiniteGroups.ParentMethods (class in sage.categories.finite_groups)
FiniteLatticePosets (class in sage.categories.finite_lattice_posets)
FiniteLatticePosets.ParentMethods (class in sage.categories.finite_lattice_posets)
FiniteMonoids (class in sage.categories.finite_monoids)
FiniteMonoids.ElementMethods (class in sage.categories.finite_monoids)
FinitePermutationGroups (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ElementMethods (class in sage.categories.finite_permutation_groups)
FinitePermutationGroups.ParentMethods (class in sage.categories.finite_permutation_groups)
FinitePosets (class in sage.categories.finite_posets)
FinitePosets.ParentMethods (class in sage.categories.finite_posets)
FiniteSemigroups (class in sage.categories.finite_semigroups)
FiniteSemigroups.ParentMethods (class in sage.categories.finite_semigroups)
FiniteSets (class in sage.categories.finite_sets)
FiniteSets.Algebras (class in sage.categories.finite_sets)
FiniteSets.ParentMethods (class in sage.categories.finite_sets)
FiniteSets.Subquotients (class in sage.categories.finite_sets)
FiniteSetsOrderedByInclusion (class in sage.categories.examples.posets)
FiniteSetsOrderedByInclusion.Element (class in sage.categories.examples.posets)
FiniteWeylGroups (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ElementMethods (class in sage.categories.finite_weyl_groups)
FiniteWeylGroups.ParentMethods (class in sage.categories.finite_weyl_groups)
first() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.map.FormalCompositeMap method)
first_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Flying() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
ForgetfulFunctor() (in module sage.categories.functor)
ForgetfulFunctor_generic (class in sage.categories.functor)
FormalCoercionMorphism (class in sage.categories.morphism)
FormalCompositeMap (class in sage.categories.map)
fraction_field() (sage.categories.fields.Fields.ParentMethods method)
FractionField (class in sage.categories.pushout)
free() (sage.categories.groups.Groups static method)
(sage.categories.groups.Groups.Commutative static method)
(sage.categories.monoids.Monoids static method)
(sage.categories.monoids.Monoids.Commutative static method)
FreeAlgebra (class in sage.categories.examples.algebras_with_basis)
FreeCommutativeAdditiveMonoid (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveMonoid.Element (class in sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveSemigroup (class in sage.categories.examples.commutative_additive_semigroups)
FreeCommutativeAdditiveSemigroup.Element (class in sage.categories.examples.commutative_additive_semigroups)
FreeMonoid (class in sage.categories.examples.monoids)
FreeMonoid.Element (class in sage.categories.examples.monoids)
FreeSemigroup (class in sage.categories.examples.semigroups)
FreeSemigroup.Element (class in sage.categories.examples.semigroups)
from_base_ring() (sage.categories.unital_algebras.UnitalAlgebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_base_ring_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
from_reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
from_set() (sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
FunctionFields (class in sage.categories.function_fields)
FunctionFields.ElementMethods (class in sage.categories.function_fields)
FunctionFields.ParentMethods (class in sage.categories.function_fields)
Functor (class in sage.categories.functor)

G

gcd() (sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
GcdDomains (class in sage.categories.gcd_domains)
GcdDomains.ElementMethods (class in sage.categories.gcd_domains)
GcdDomains.ParentMethods (class in sage.categories.gcd_domains)
ge() (sage.categories.posets.Posets.ParentMethods method)
generating_series() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
gens() (sage.categories.pushout.PermutationGroupFunctor method)
get_action_c() (sage.categories.homset.Homset method)
Graded (sage.categories.algebras.Algebras attribute)
(sage.categories.algebras_with_basis.AlgebrasWithBasis attribute)
(sage.categories.hopf_algebras_with_basis.HopfAlgebrasWithBasis attribute)
(sage.categories.modules.Modules attribute)
(sage.categories.modules_with_basis.ModulesWithBasis attribute)
Graded() (sage.categories.modules.Modules.SubcategoryMethods method)
graded_component() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
GradedAlgebras (class in sage.categories.graded_algebras)
GradedAlgebras.ElementMethods (class in sage.categories.graded_algebras)
GradedAlgebras.ParentMethods (class in sage.categories.graded_algebras)
GradedAlgebrasWithBasis (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_algebras_with_basis)
GradedAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_algebras_with_basis)
GradedBialgebras() (in module sage.categories.graded_bialgebras)
GradedBialgebrasWithBasis() (in module sage.categories.graded_bialgebras_with_basis)
GradedCoalgebras() (in module sage.categories.graded_coalgebras)
GradedCoalgebrasWithBasis() (in module sage.categories.graded_coalgebras_with_basis)
GradedHopfAlgebras() (in module sage.categories.graded_hopf_algebras)
GradedHopfAlgebrasWithBasis (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ElementMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.ParentMethods (class in sage.categories.graded_hopf_algebras_with_basis)
GradedHopfAlgebrasWithBasis.WithRealizations (class in sage.categories.graded_hopf_algebras_with_basis)
GradedModules (class in sage.categories.graded_modules)
GradedModules.Connected (class in sage.categories.graded_modules)
GradedModules.ElementMethods (class in sage.categories.graded_modules)
GradedModules.ParentMethods (class in sage.categories.graded_modules)
GradedModules.SubcategoryMethods (class in sage.categories.graded_modules)
GradedModulesCategory (class in sage.categories.graded_modules)
GradedModulesWithBasis (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ElementMethods (class in sage.categories.graded_modules_with_basis)
GradedModulesWithBasis.ParentMethods (class in sage.categories.graded_modules_with_basis)
grading() (sage.categories.examples.sets_with_grading.NonNegativeIntegers method)
(sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grading_set() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
grassmannian_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
group() (sage.categories.groups.Groups.Algebras.ParentMethods method)
group_generators() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.groups.Groups.CartesianProducts.ParentMethods method)
(sage.categories.groups.Groups.ParentMethods method)
GroupAlgebras() (in module sage.categories.group_algebras)
Groupoid (class in sage.categories.groupoid)
Groups (class in sage.categories.groups)
Groups.Algebras (class in sage.categories.groups)
Groups.Algebras.ElementMethods (class in sage.categories.groups)
Groups.Algebras.ParentMethods (class in sage.categories.groups)
Groups.CartesianProducts (class in sage.categories.groups)
Groups.CartesianProducts.ParentMethods (class in sage.categories.groups)
Groups.Commutative (class in sage.categories.groups)
Groups.ElementMethods (class in sage.categories.groups)
Groups.ParentMethods (class in sage.categories.groups)
GSets (class in sage.categories.g_sets)
gt() (sage.categories.posets.Posets.ParentMethods method)

H

has_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_left_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
has_right_descent() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup.Element method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup.Element method)
HeckeModules (class in sage.categories.hecke_modules)
HeckeModules.HomCategory (class in sage.categories.hecke_modules)
HeckeModules.HomCategory.ParentMethods (class in sage.categories.hecke_modules)
HeckeModules.ParentMethods (class in sage.categories.hecke_modules)
highest_weight_vector() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
highest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
HighestWeightCrystalOfTypeA (class in sage.categories.examples.crystals)
HighestWeightCrystalOfTypeA.Element (class in sage.categories.examples.crystals)
HighestWeightCrystals (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ElementMethods (class in sage.categories.highest_weight_crystals)
HighestWeightCrystals.ParentMethods (class in sage.categories.highest_weight_crystals)
holomorph() (sage.categories.groups.Groups.ParentMethods method)
Hom() (in module sage.categories.homset)
hom() (in module sage.categories.homset)
hom_category() (sage.categories.category.Category method)
HomCategory (class in sage.categories.category)
homogeneous_component() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
homogeneous_degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
Homset (class in sage.categories.homset)
homset_category() (sage.categories.homset.Homset method)
HomsetWithBase (class in sage.categories.homset)
HopfAlgebras (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory (class in sage.categories.hopf_algebras)
HopfAlgebras.DualCategory.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Morphism (class in sage.categories.hopf_algebras)
HopfAlgebras.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations (class in sage.categories.hopf_algebras)
HopfAlgebras.Realizations.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras)
HopfAlgebras.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras)
HopfAlgebrasWithBasis (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.ParentMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ElementMethods (class in sage.categories.hopf_algebras_with_basis)
HopfAlgebrasWithBasis.TensorProducts.ParentMethods (class in sage.categories.hopf_algebras_with_basis)

I

ideal() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
(sage.categories.rings.Rings.ParentMethods method)
ideal_monoid() (sage.categories.rings.Rings.ParentMethods method)
idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
IdempotentSemigroups (class in sage.categories.examples.semigroups_cython)
IdempotentSemigroupsElementMethods (class in sage.categories.examples.semigroups_cython)
identity() (sage.categories.homset.Homset method)
IdentityConstructionFunctor (class in sage.categories.pushout)
IdentityFunctor() (in module sage.categories.functor)
IdentityFunctor_generic (class in sage.categories.functor)
IdentityMorphism (class in sage.categories.morphism)
IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups)
IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups)
index_set() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
indices() (sage.categories.examples.with_realizations.SubsetAlgebra method)
indices_cmp() (sage.categories.examples.with_realizations.SubsetAlgebra method)
Infinite (sage.categories.enumerated_sets.EnumeratedSets attribute)
Infinite() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
InfiniteEnumeratedSets (class in sage.categories.infinite_enumerated_sets)
InfiniteEnumeratedSets.ParentMethods (class in sage.categories.infinite_enumerated_sets)
InfinitePolynomialFunctor (class in sage.categories.pushout)
inject_shorthands() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
IntegerModMonoid (class in sage.categories.examples.finite_monoids)
IntegerModMonoid.Element (class in sage.categories.examples.finite_monoids)
IntegersCompletion (class in sage.categories.examples.facade_sets)
IntegralDomains (class in sage.categories.integral_domains)
IntegralDomains.ElementMethods (class in sage.categories.integral_domains)
IntegralDomains.ParentMethods (class in sage.categories.integral_domains)
Inverse (sage.categories.monoids.Monoids attribute)
inverse() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
Inverse() (sage.categories.magmas.Magmas.Unital.SubcategoryMethods method)
InverseAction (class in sage.categories.action)
inversions() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_abelian() (sage.categories.category.Category method)
(sage.categories.category_types.AbelianCategory method)
(sage.categories.modules_with_basis.ModulesWithBasis method)
(sage.categories.vector_spaces.VectorSpaces.WithBasis method)
is_affine_grassmannian() (sage.categories.affine_weyl_groups.AffineWeylGroups.ElementMethods method)
is_antichain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_Category() (in module sage.categories.category)
is_central() (sage.categories.monoids.Monoids.Algebras.ElementMethods method)
is_chain_of_poset() (sage.categories.posets.Posets.ParentMethods method)
is_commutative() (sage.categories.magmas.Magmas.Commutative.ParentMethods method)
is_endomorphism() (sage.categories.morphism.Morphism method)
is_endomorphism_set() (sage.categories.homset.Homset method)
is_Endset() (in module sage.categories.homset)
is_euclidean_domain() (sage.categories.euclidean_domains.EuclideanDomains.ParentMethods method)
is_field() (sage.categories.fields.Fields.ParentMethods method)
is_finite() (sage.categories.finite_sets.FiniteSets.ParentMethods method)
(sage.categories.sets_cat.Sets.Infinite.ParentMethods method)
is_Functor() (in module sage.categories.functor)
is_grassmannian() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
is_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_homogeneous() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
(sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
is_Homset() (in module sage.categories.homset)
is_idempotent() (sage.categories.examples.semigroups.LeftZeroSemigroup.Element method)
(sage.categories.magmas.Magmas.ElementMethods method)
is_idempotent_cpdef() (sage.categories.examples.semigroups_cython.IdempotentSemigroupsElementMethods method)
is_identity() (sage.categories.morphism.Morphism method)
is_injective() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_integral_domain() (sage.categories.integral_domains.IntegralDomains.ParentMethods method)
is_integrally_closed() (sage.categories.fields.Fields.ParentMethods method)
is_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_lattice_morphism() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
is_left() (sage.categories.action.Action method)
is_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
is_Map() (in module sage.categories.map)
is_Morphism() (in module sage.categories.morphism)
is_one() (sage.categories.monoids.Monoids.ElementMethods method)
is_order_filter() (sage.categories.posets.Posets.ParentMethods method)
is_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
is_perfect() (sage.categories.fields.Fields.ParentMethods method)
is_pieri_factor() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
is_poset_isomorphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_poset_morphism() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_prime() (sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
is_ring() (sage.categories.rings.Rings.ParentMethods method)
is_selfdual() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
is_subcategory() (sage.categories.category.Category method)
(sage.categories.category.JoinCategory method)
is_surjective() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
is_unique_factorization_domain() (sage.categories.unique_factorization_domains.UniqueFactorizationDomains.ParentMethods method)
is_unit() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.rings.Rings.ElementMethods method)
is_zero() (sage.categories.rings.Rings.ParentMethods method)
IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets)
IsomorphicObjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects)

J

j_classes() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_classes_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
j_transversal_of_idempotents() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
join() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
join_irreducibles() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
join_irreducibles_poset() (sage.categories.finite_lattice_posets.FiniteLatticePosets.ParentMethods method)
JoinCategory (class in sage.categories.category)

L

Lambda() (sage.categories.crystals.Crystals.ParentMethods method)
last() (sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
latex() (sage.categories.crystals.Crystals.ParentMethods method)
latex_file() (sage.categories.crystals.Crystals.ParentMethods method)
LatticePosets (class in sage.categories.lattice_posets)
LatticePosets.ParentMethods (class in sage.categories.lattice_posets)
LaurentPolynomialFunctor (class in sage.categories.pushout)
lcm() (sage.categories.fields.Fields.ElementMethods method)
(sage.categories.quotient_fields.QuotientFields.ElementMethods method)
le() (sage.categories.examples.posets.FiniteSetsOrderedByInclusion method)
(sage.categories.examples.posets.PositiveIntegersOrderedByDivisibilityFacade method)
(sage.categories.posets.Posets.ParentMethods method)
leading_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
leading_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
left_base_ring() (sage.categories.bimodules.Bimodules method)
left_domain() (sage.categories.action.Action method)
left_inversions_as_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
left_pieri_factorizations() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
LeftModules (class in sage.categories.left_modules)
LeftModules.ElementMethods (class in sage.categories.left_modules)
LeftModules.ParentMethods (class in sage.categories.left_modules)
LeftRegularBand (class in sage.categories.examples.finite_semigroups)
LeftRegularBand.Element (class in sage.categories.examples.finite_semigroups)
LeftZeroSemigroup (class in sage.categories.examples.semigroups)
(class in sage.categories.examples.semigroups_cython)
LeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
LeftZeroSemigroupElement (class in sage.categories.examples.semigroups_cython)
length() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lift() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ElementMethods method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
list() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
long_element() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
lower_cover_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
lower_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
lower_set() (sage.categories.posets.Posets.ParentMethods method)
lowest_weight_vectors() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
lt() (sage.categories.posets.Posets.ParentMethods method)
lusztig_involution() (sage.categories.classical_crystals.ClassicalCrystals.ElementMethods method)

M

Magmas (class in sage.categories.magmas)
Magmas.Algebras (class in sage.categories.magmas)
Magmas.CartesianProducts (class in sage.categories.magmas)
Magmas.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Commutative (class in sage.categories.magmas)
Magmas.Commutative.Algebras (class in sage.categories.magmas)
Magmas.Commutative.ParentMethods (class in sage.categories.magmas)
Magmas.ElementMethods (class in sage.categories.magmas)
Magmas.ParentMethods (class in sage.categories.magmas)
Magmas.Realizations (class in sage.categories.magmas)
Magmas.Realizations.ParentMethods (class in sage.categories.magmas)
Magmas.SubcategoryMethods (class in sage.categories.magmas)
Magmas.Subquotients (class in sage.categories.magmas)
Magmas.Subquotients.ParentMethods (class in sage.categories.magmas)
Magmas.Unital (class in sage.categories.magmas)
Magmas.Unital.Algebras (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ElementMethods (class in sage.categories.magmas)
Magmas.Unital.CartesianProducts.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.Inverse (class in sage.categories.magmas)
Magmas.Unital.Inverse.CartesianProducts (class in sage.categories.magmas)
Magmas.Unital.ParentMethods (class in sage.categories.magmas)
Magmas.Unital.SubcategoryMethods (class in sage.categories.magmas)
MagmasAndAdditiveMagmas (class in sage.categories.magmas_and_additive_magmas)
MagmasAndAdditiveMagmas.SubcategoryMethods (class in sage.categories.magmas_and_additive_magmas)
MagmaticAlgebras (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.ParentMethods (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis (class in sage.categories.magmatic_algebras)
MagmaticAlgebras.WithBasis.ParentMethods (class in sage.categories.magmatic_algebras)
make_morphism() (in module sage.categories.morphism)
Map (class in sage.categories.map)
map() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
map_coefficients() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_mc() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_support_skip_none() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
map_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
MatrixAlgebras (class in sage.categories.matrix_algebras)
MatrixFunctor (class in sage.categories.pushout)
maximal_degree() (sage.categories.graded_algebras_with_basis.GradedAlgebrasWithBasis.ElementMethods method)
meet() (sage.categories.category.Category static method)
(sage.categories.lattice_posets.LatticePosets.ParentMethods method)
merge() (sage.categories.pushout.AlgebraicClosureFunctor method)
(sage.categories.pushout.AlgebraicExtensionFunctor method)
(sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.InfinitePolynomialFunctor method)
(sage.categories.pushout.LaurentPolynomialFunctor method)
(sage.categories.pushout.MatrixFunctor method)
(sage.categories.pushout.MultiPolynomialFunctor method)
(sage.categories.pushout.PermutationGroupFunctor method)
(sage.categories.pushout.PolynomialFunctor method)
(sage.categories.pushout.QuotientFunctor method)
(sage.categories.pushout.SubspaceFunctor method)
(sage.categories.pushout.VectorFunctor method)
metapost() (sage.categories.crystals.Crystals.ParentMethods method)
min_demazure_product_greater() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
ModularAbelianVarieties (class in sage.categories.modular_abelian_varieties)
module_morphism() (sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
ModuleMorphismByLinearity (class in sage.categories.modules_with_basis)
Modules (class in sage.categories.modules)
Modules.ElementMethods (class in sage.categories.modules)
Modules.EndCategory (class in sage.categories.modules)
Modules.FiniteDimensional (class in sage.categories.modules)
Modules.HomCategory (class in sage.categories.modules)
Modules.HomCategory.ParentMethods (class in sage.categories.modules)
Modules.ParentMethods (class in sage.categories.modules)
Modules.SubcategoryMethods (class in sage.categories.modules)
ModulesWithBasis (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.CartesianProducts.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.DualObjects (class in sage.categories.modules_with_basis)
ModulesWithBasis.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.HomCategory (class in sage.categories.modules_with_basis)
ModulesWithBasis.HomCategory.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.HomCategory.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.ParentMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ElementMethods (class in sage.categories.modules_with_basis)
ModulesWithBasis.TensorProducts.ParentMethods (class in sage.categories.modules_with_basis)
monoid_generators() (sage.categories.monoids.Monoids.CartesianProducts.ParentMethods method)
MonoidAlgebras() (in module sage.categories.monoid_algebras)
Monoids (class in sage.categories.monoids)
Monoids.Algebras (class in sage.categories.monoids)
Monoids.Algebras.ElementMethods (class in sage.categories.monoids)
Monoids.Algebras.ParentMethods (class in sage.categories.monoids)
Monoids.CartesianProducts (class in sage.categories.monoids)
Monoids.CartesianProducts.ParentMethods (class in sage.categories.monoids)
Monoids.Commutative (class in sage.categories.monoids)
Monoids.ElementMethods (class in sage.categories.monoids)
Monoids.ParentMethods (class in sage.categories.monoids)
Monoids.Subquotients (class in sage.categories.monoids)
Monoids.Subquotients.ParentMethods (class in sage.categories.monoids)
Monoids.WithRealizations (class in sage.categories.monoids)
Monoids.WithRealizations.ParentMethods (class in sage.categories.monoids)
Morphism (class in sage.categories.morphism)
multiplication_table() (sage.categories.magmas.Magmas.ParentMethods method)
MultiPolynomialFunctor (class in sage.categories.pushout)
MyGroupAlgebra (class in sage.categories.examples.hopf_algebras_with_basis)

N

NaiveCrystal (class in sage.categories.examples.crystals)
NaiveCrystal.Element (class in sage.categories.examples.crystals)
natural_map() (sage.categories.homset.Homset method)
next() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.infinite_enumerated_sets.NonNegativeIntegers method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract.Element method)
NonNegativeIntegers (class in sage.categories.examples.infinite_enumerated_sets)
(class in sage.categories.examples.sets_with_grading)
NoZeroDivisors (sage.categories.rings.Rings attribute)
NoZeroDivisors() (sage.categories.rings.Rings.SubcategoryMethods method)
NumberFields (class in sage.categories.number_fields)
NumberFields.ElementMethods (class in sage.categories.number_fields)
NumberFields.ParentMethods (class in sage.categories.number_fields)
numerator() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)

O

object() (sage.categories.category_types.Elements method)
(sage.categories.category_types.Sequences method)
Objects (class in sage.categories.objects)
Objects.ElementMethods (class in sage.categories.objects)
Objects.HomCategory (class in sage.categories.objects)
Objects.HomCategory.ParentMethods (class in sage.categories.objects)
Objects.ParentMethods (class in sage.categories.objects)
on_basis() (sage.categories.modules_with_basis.ModuleMorphismByLinearity method)
(sage.categories.modules_with_basis.ModulesWithBasis.HomCategory.ElementMethods method)
on_left_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
one() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.ParentMethods method)
(sage.categories.examples.finite_coxeter_groups.DihedralGroup method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.monoids.FreeMonoid method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases.ParentMethods method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.magmas.Magmas.Unital.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.Unital.ParentMethods method)
(sage.categories.monoids.Monoids.Subquotients.ParentMethods method)
(sage.categories.monoids.Monoids.WithRealizations.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_basis() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.monoids.Monoids.Algebras.ParentMethods method)
(sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
one_element() (sage.categories.monoids.Monoids.ParentMethods method)
one_from_cartesian_product_of_one_basis() (sage.categories.algebras_with_basis.AlgebrasWithBasis.CartesianProducts.ParentMethods method)
one_from_one_basis() (sage.categories.unital_algebras.UnitalAlgebras.WithBasis.ParentMethods method)
operation() (sage.categories.action.Action method)
opposition_automorphism() (sage.categories.classical_crystals.ClassicalCrystals.ParentMethods method)
or_subcategory() (sage.categories.category.Category method)
order_filter() (sage.categories.posets.Posets.ParentMethods method)
order_filter_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_complement_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_generators() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
order_ideal_toggle() (sage.categories.posets.Posets.ParentMethods method)
order_ideal_toggles() (sage.categories.posets.Posets.ParentMethods method)
order_ideals_lattice() (sage.categories.finite_posets.FinitePosets.ParentMethods method)

P

panyushev_complement() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
panyushev_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
parent() (sage.categories.map.Map method)
parent_class() (sage.categories.category.Category method)
partial_fraction_decomposition() (sage.categories.quotient_fields.QuotientFields.ElementMethods method)
PartiallyOrderedMonoids (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ElementMethods (class in sage.categories.partially_ordered_monoids)
PartiallyOrderedMonoids.ParentMethods (class in sage.categories.partially_ordered_monoids)
PermutationGroupFunctor (class in sage.categories.pushout)
PermutationGroups (class in sage.categories.permutation_groups)
Phi() (sage.categories.crystals.Crystals.ElementMethods method)
phi() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
phi_minus_epsilon() (sage.categories.crystals.Crystals.ElementMethods method)
pieri_factors() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
plot() (sage.categories.crystals.Crystals.ParentMethods method)
plot3d() (sage.categories.crystals.Crystals.ParentMethods method)
PointedSets (class in sage.categories.pointed_sets)
pointwise_inverse() (sage.categories.modules_with_basis.PointwiseInverseFunction method)
pointwise_inverse_function() (in module sage.categories.modules_with_basis)
PointwiseInverseFunction (class in sage.categories.modules_with_basis)
PolyhedralSets (class in sage.categories.polyhedra)
PolynomialFunctor (class in sage.categories.pushout)
Posets (class in sage.categories.posets)
Posets.ElementMethods (class in sage.categories.posets)
Posets.ParentMethods (class in sage.categories.posets)
PositiveIntegerMonoid (class in sage.categories.examples.facade_sets)
PositiveIntegersOrderedByDivisibilityFacade (class in sage.categories.examples.posets)
PositiveIntegersOrderedByDivisibilityFacade.element_class (class in sage.categories.examples.posets)
post_compose() (sage.categories.map.Map method)
pre_compose() (sage.categories.map.Map method)
PrecomposedAction (class in sage.categories.action)
preimage() (sage.categories.modules_with_basis.TriangularModuleMorphism method)
PrimeNumbers (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract (class in sage.categories.examples.sets_cat)
PrimeNumbers_Abstract.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Facade (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits (class in sage.categories.examples.sets_cat)
PrimeNumbers_Inherits.Element (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper (class in sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper.Element (class in sage.categories.examples.sets_cat)
principal_lower_set() (sage.categories.posets.Posets.ParentMethods method)
principal_order_filter() (sage.categories.posets.Posets.ParentMethods method)
principal_order_ideal() (sage.categories.posets.Posets.ParentMethods method)
principal_upper_set() (sage.categories.posets.Posets.ParentMethods method)
PrincipalIdealDomains (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ElementMethods (class in sage.categories.principal_ideal_domains)
PrincipalIdealDomains.ParentMethods (class in sage.categories.principal_ideal_domains)
print_compare() (in module sage.categories.sets_cat)
prod() (sage.categories.monoids.Monoids.ParentMethods method)
(sage.categories.semigroups.Semigroups.ParentMethods method)
product() (sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.magmas.Magmas.CartesianProducts.ParentMethods method)
(sage.categories.magmas.Magmas.ParentMethods method)
(sage.categories.magmas.Magmas.Subquotients.ParentMethods method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
product_by_coercion() (sage.categories.magmas.Magmas.Realizations.ParentMethods method)
product_from_element_class_mul() (sage.categories.magmas.Magmas.ParentMethods method)
product_on_basis() (sage.categories.additive_magmas.AdditiveMagmas.Algebras.ParentMethods method)
(sage.categories.additive_semigroups.AdditiveSemigroups.Algebras.ParentMethods method)
(sage.categories.algebras_with_basis.AlgebrasWithBasis.TensorProducts.ParentMethods method)
(sage.categories.examples.algebras_with_basis.FreeAlgebra method)
(sage.categories.examples.hopf_algebras_with_basis.MyGroupAlgebra method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Fundamental method)
(sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods method)
(sage.categories.semigroups.Semigroups.Algebras.ParentMethods method)
pseudo_order() (sage.categories.finite_monoids.FiniteMonoids.ElementMethods method)
pushforward() (sage.categories.morphism.Morphism method)
pushout() (in module sage.categories.pushout)
(sage.categories.pushout.ConstructionFunctor method)
pushout_lattice() (in module sage.categories.pushout)

Q

q_dimension() (sage.categories.highest_weight_crystals.HighestWeightCrystals.ParentMethods method)
quantum_bruhat_graph() (sage.categories.weyl_groups.WeylGroups.ParentMethods method)
quantum_bruhat_successors() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
quo() (sage.categories.rings.Rings.ParentMethods method)
quo_rem() (sage.categories.euclidean_domains.EuclideanDomains.ElementMethods method)
(sage.categories.fields.Fields.ElementMethods method)
quotient() (sage.categories.rings.Rings.ParentMethods method)
quotient_ring() (sage.categories.rings.Rings.ParentMethods method)
QuotientFields (class in sage.categories.quotient_fields)
QuotientFields.ElementMethods (class in sage.categories.quotient_fields)
QuotientFields.ParentMethods (class in sage.categories.quotient_fields)
QuotientFunctor (class in sage.categories.pushout)
QuotientOfLeftZeroSemigroup (class in sage.categories.examples.semigroups)
QuotientOfLeftZeroSemigroup.Element (class in sage.categories.examples.semigroups)
Quotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
QuotientsCategory (class in sage.categories.quotients)

R

random_element() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.finite_enumerated_sets.FiniteEnumeratedSets.ParentMethods method)
(sage.categories.infinite_enumerated_sets.InfiniteEnumeratedSets.ParentMethods method)
random_element_of_length() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
rank() (sage.categories.enumerated_sets.EnumeratedSets.ElementMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
realization_of() (sage.categories.sets_cat.Sets.Realizations.ParentMethods method)
Realizations() (in module sage.categories.realizations)
(sage.categories.category.Category method)
realizations() (sage.categories.sets_cat.Sets.WithRealizations.ParentMethods method)
RealizationsCategory (class in sage.categories.realizations)
reduced_word() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_word_reverse_iterator() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reduced_words() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
reflection_to_coroot() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
reflection_to_root() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
register_as_coercion() (sage.categories.morphism.Morphism method)
register_as_conversion() (sage.categories.morphism.Morphism method)
RegressiveCovariantConstructionCategory (class in sage.categories.covariant_functorial_construction)
RegularCrystals (class in sage.categories.regular_crystals)
RegularCrystals.ElementMethods (class in sage.categories.regular_crystals)
RegularCrystals.ParentMethods (class in sage.categories.regular_crystals)
required_methods() (sage.categories.category.Category method)
retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.sets_cat.Sets.Subquotients.ParentMethods method)
reversed() (sage.categories.homset.Homset method)
right_base_ring() (sage.categories.bimodules.Bimodules method)
right_domain() (sage.categories.action.Action method)
RightModules (class in sage.categories.right_modules)
RightModules.ElementMethods (class in sage.categories.right_modules)
RightModules.ParentMethods (class in sage.categories.right_modules)
ring() (sage.categories.category_types.Category_ideal method)
RingIdeals (class in sage.categories.ring_ideals)
Rings (class in sage.categories.rings)
Rings.ElementMethods (class in sage.categories.rings)
Rings.HomCategory (class in sage.categories.rings)
Rings.ParentMethods (class in sage.categories.rings)
Rings.SubcategoryMethods (class in sage.categories.rings)
Rngs (class in sage.categories.rngs)
rowmotion() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
rowmotion_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)

S

s() (sage.categories.crystals.Crystals.ElementMethods method)
sage.categories.action (module)
sage.categories.additive_groups (module)
sage.categories.additive_magmas (module)
sage.categories.additive_monoids (module)
sage.categories.additive_semigroups (module)
sage.categories.affine_weyl_groups (module)
sage.categories.algebra_functor (module)
sage.categories.algebra_ideals (module)
sage.categories.algebra_modules (module)
sage.categories.algebras (module)
sage.categories.algebras_with_basis (module)
sage.categories.associative_algebras (module)
sage.categories.bialgebras (module)
sage.categories.bialgebras_with_basis (module)
sage.categories.bimodules (module)
sage.categories.cartesian_product (module)
sage.categories.category (module)
sage.categories.category_singleton (module)
sage.categories.category_types (module)
sage.categories.category_with_axiom (module)
sage.categories.classical_crystals (module)
sage.categories.coalgebras (module)
sage.categories.coalgebras_with_basis (module)
sage.categories.commutative_additive_groups (module)
sage.categories.commutative_additive_monoids (module)
sage.categories.commutative_additive_semigroups (module)
sage.categories.commutative_algebra_ideals (module)
sage.categories.commutative_algebras (module)
sage.categories.commutative_ring_ideals (module)
sage.categories.commutative_rings (module)
sage.categories.covariant_functorial_construction (module)
sage.categories.coxeter_groups (module)
sage.categories.crystals (module)
sage.categories.distributive_magmas_and_additive_magmas (module)
sage.categories.division_rings (module)
sage.categories.domains (module)
sage.categories.dual (module)
sage.categories.enumerated_sets (module)
sage.categories.euclidean_domains (module)
sage.categories.examples.algebras_with_basis (module)
sage.categories.examples.commutative_additive_monoids (module)
sage.categories.examples.commutative_additive_semigroups (module)
sage.categories.examples.coxeter_groups (module)
sage.categories.examples.crystals (module)
sage.categories.examples.facade_sets (module)
sage.categories.examples.finite_coxeter_groups (module)
sage.categories.examples.finite_enumerated_sets (module)
sage.categories.examples.finite_monoids (module)
sage.categories.examples.finite_semigroups (module)
sage.categories.examples.finite_weyl_groups (module)
sage.categories.examples.hopf_algebras_with_basis (module)
sage.categories.examples.infinite_enumerated_sets (module)
sage.categories.examples.monoids (module)
sage.categories.examples.posets (module)
sage.categories.examples.semigroups (module)
sage.categories.examples.semigroups_cython (module)
sage.categories.examples.sets_cat (module)
sage.categories.examples.sets_with_grading (module)
sage.categories.examples.with_realizations (module)
sage.categories.facade_sets (module)
sage.categories.fields (module)
sage.categories.finite_coxeter_groups (module)
sage.categories.finite_crystals (module)
sage.categories.finite_dimensional_algebras_with_basis (module)
sage.categories.finite_dimensional_bialgebras_with_basis (module)
sage.categories.finite_dimensional_coalgebras_with_basis (module)
sage.categories.finite_dimensional_hopf_algebras_with_basis (module)
sage.categories.finite_dimensional_modules_with_basis (module)
sage.categories.finite_enumerated_sets (module)
sage.categories.finite_fields (module)
sage.categories.finite_groups (module)
sage.categories.finite_lattice_posets (module)
sage.categories.finite_monoids (module)
sage.categories.finite_permutation_groups (module)
sage.categories.finite_posets (module)
sage.categories.finite_semigroups (module)
sage.categories.finite_sets (module)
sage.categories.finite_weyl_groups (module)
sage.categories.function_fields (module)
sage.categories.functor (module)
sage.categories.g_sets (module)
sage.categories.gcd_domains (module)
sage.categories.graded_algebras (module)
sage.categories.graded_algebras_with_basis (module)
sage.categories.graded_bialgebras (module)
sage.categories.graded_bialgebras_with_basis (module)
sage.categories.graded_coalgebras (module)
sage.categories.graded_coalgebras_with_basis (module)
sage.categories.graded_hopf_algebras (module)
sage.categories.graded_hopf_algebras_with_basis (module)
sage.categories.graded_modules (module)
sage.categories.graded_modules_with_basis (module)
sage.categories.group_algebras (module)
sage.categories.groupoid (module)
sage.categories.groups (module)
sage.categories.hecke_modules (module)
sage.categories.highest_weight_crystals (module)
sage.categories.homset (module)
sage.categories.hopf_algebras (module)
sage.categories.hopf_algebras_with_basis (module)
sage.categories.infinite_enumerated_sets (module)
sage.categories.integral_domains (module)
sage.categories.isomorphic_objects (module)
sage.categories.lattice_posets (module)
sage.categories.left_modules (module)
sage.categories.magmas (module)
sage.categories.magmas_and_additive_magmas (module)
sage.categories.magmatic_algebras (module)
sage.categories.map (module)
sage.categories.matrix_algebras (module)
sage.categories.modular_abelian_varieties (module)
sage.categories.modules (module)
sage.categories.modules_with_basis (module)
sage.categories.monoid_algebras (module)
sage.categories.monoids (module)
sage.categories.morphism (module)
sage.categories.number_fields (module)
sage.categories.objects (module)
sage.categories.partially_ordered_monoids (module)
sage.categories.permutation_groups (module)
sage.categories.pointed_sets (module)
sage.categories.polyhedra (module)
sage.categories.posets (module)
sage.categories.primer (module)
sage.categories.principal_ideal_domains (module)
sage.categories.pushout (module)
sage.categories.quotient_fields (module)
sage.categories.quotients (module)
sage.categories.realizations (module)
sage.categories.regular_crystals (module)
sage.categories.right_modules (module)
sage.categories.ring_ideals (module)
sage.categories.rings (module)
sage.categories.rngs (module)
sage.categories.schemes (module)
sage.categories.semigroups (module)
sage.categories.semirings (module)
sage.categories.sets_cat (module)
sage.categories.sets_with_grading (module)
sage.categories.sets_with_partial_maps (module)
sage.categories.subobjects (module)
sage.categories.subquotients (module)
sage.categories.tensor (module)
sage.categories.tutorial (module)
sage.categories.unique_factorization_domains (module)
sage.categories.unital_algebras (module)
sage.categories.vector_spaces (module)
sage.categories.weyl_groups (module)
sage.categories.with_realizations (module)
Schemes (class in sage.categories.schemes)
Schemes.HomCategory (class in sage.categories.schemes)
Schemes_over_base (class in sage.categories.schemes)
second() (sage.categories.map.FormalCompositeMap method)
Section (class in sage.categories.map)
section() (sage.categories.map.Map method)
(sage.categories.modules_with_basis.TriangularModuleMorphism method)
semidirect_product() (sage.categories.groups.Groups.ParentMethods method)
semigroup_generators() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_monoids.IntegerModMonoid method)
(sage.categories.examples.finite_semigroups.LeftRegularBand method)
(sage.categories.examples.semigroups.FreeSemigroup method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.semigroups.Semigroups.Quotients.ParentMethods method)
Semigroups (class in sage.categories.semigroups)
Semigroups.Algebras (class in sage.categories.semigroups)
Semigroups.Algebras.ParentMethods (class in sage.categories.semigroups)
Semigroups.CartesianProducts (class in sage.categories.semigroups)
Semigroups.ElementMethods (class in sage.categories.semigroups)
Semigroups.ParentMethods (class in sage.categories.semigroups)
Semigroups.Quotients (class in sage.categories.semigroups)
Semigroups.Quotients.ParentMethods (class in sage.categories.semigroups)
Semigroups.Subquotients (class in sage.categories.semigroups)
Semirings (class in sage.categories.semirings)
Sequences (class in sage.categories.category_types)
SetMorphism (class in sage.categories.morphism)
Sets (class in sage.categories.sets_cat)
Sets.Algebras (class in sage.categories.sets_cat)
Sets.CartesianProducts (class in sage.categories.sets_cat)
Sets.CartesianProducts.ElementMethods (class in sage.categories.sets_cat)
Sets.CartesianProducts.ParentMethods (class in sage.categories.sets_cat)
Sets.ElementMethods (class in sage.categories.sets_cat)
Sets.HomCategory (class in sage.categories.sets_cat)
Sets.Infinite (class in sage.categories.sets_cat)
Sets.Infinite.ParentMethods (class in sage.categories.sets_cat)
Sets.IsomorphicObjects (class in sage.categories.sets_cat)
Sets.IsomorphicObjects.ParentMethods (class in sage.categories.sets_cat)
Sets.ParentMethods (class in sage.categories.sets_cat)
Sets.Quotients (class in sage.categories.sets_cat)
Sets.Quotients.ParentMethods (class in sage.categories.sets_cat)
Sets.Realizations (class in sage.categories.sets_cat)
Sets.Realizations.ParentMethods (class in sage.categories.sets_cat)
Sets.SubcategoryMethods (class in sage.categories.sets_cat)
Sets.Subobjects (class in sage.categories.sets_cat)
Sets.Subobjects.ParentMethods (class in sage.categories.sets_cat)
Sets.Subquotients (class in sage.categories.sets_cat)
Sets.Subquotients.ElementMethods (class in sage.categories.sets_cat)
Sets.Subquotients.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods (class in sage.categories.sets_cat)
Sets.WithRealizations.ParentMethods.Realizations (class in sage.categories.sets_cat)
SetsWithGrading (class in sage.categories.sets_with_grading)
SetsWithGrading.ParentMethods (class in sage.categories.sets_with_grading)
SetsWithPartialMaps (class in sage.categories.sets_with_partial_maps)
SetsWithPartialMaps.HomCategory (class in sage.categories.sets_with_partial_maps)
simple_projection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_projections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
simple_reflection() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.examples.finite_weyl_groups.SymmetricGroup method)
simple_reflections() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
SimplicialComplexes (class in sage.categories.category_types)
some_elements() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
(sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
(sage.categories.examples.semigroups.LeftZeroSemigroup method)
(sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
(sage.categories.examples.sets_cat.PrimeNumbers_Abstract method)
(sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
(sage.categories.finite_groups.FiniteGroups.ParentMethods method)
(sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
(sage.categories.sets_cat.Sets.ParentMethods method)
special_node() (sage.categories.affine_weyl_groups.AffineWeylGroups.ParentMethods method)
stanley_symmetric_function() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stanley_symmetric_function_as_polynomial() (sage.categories.weyl_groups.WeylGroups.ElementMethods method)
stembridgeDel_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDel_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_depth() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeDelta_rise() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
stembridgeTriple() (sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
subcategory_class() (sage.categories.category.Category method)
subcrystal() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.crystals.Crystals.ParentMethods method)
Subobjects() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubobjectsCategory (class in sage.categories.subobjects)
Subquotients() (sage.categories.sets_cat.Sets.SubcategoryMethods method)
SubquotientsCategory (class in sage.categories.subquotients)
subset() (sage.categories.sets_with_grading.SetsWithGrading.ParentMethods method)
SubsetAlgebra (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Bases.ParentMethods (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Fundamental (class in sage.categories.examples.with_realizations)
SubsetAlgebra.In (class in sage.categories.examples.with_realizations)
SubsetAlgebra.Out (class in sage.categories.examples.with_realizations)
SubspaceFunctor (class in sage.categories.pushout)
succ_generators() (sage.categories.finite_semigroups.FiniteSemigroups.ParentMethods method)
sum() (sage.categories.additive_monoids.AdditiveMonoids.ParentMethods method)
summand_projection() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
summand_split() (sage.categories.sets_cat.Sets.CartesianProducts.ElementMethods method)
summation() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
(sage.categories.examples.commutative_additive_semigroups.FreeCommutativeAdditiveSemigroup method)
summation_from_element_class_add() (sage.categories.additive_magmas.AdditiveMagmas.ParentMethods method)
super_categories() (sage.categories.additive_magmas.AdditiveMagmas method)
(sage.categories.affine_weyl_groups.AffineWeylGroups method)
(sage.categories.algebra_ideals.AlgebraIdeals method)
(sage.categories.algebra_modules.AlgebraModules method)
(sage.categories.bialgebras.Bialgebras method)
(sage.categories.bimodules.Bimodules method)
(sage.categories.category.Category method)
(sage.categories.category.HomCategory method)
(sage.categories.category.JoinCategory method)
(sage.categories.category_types.ChainComplexes method)
(sage.categories.category_types.Elements method)
(sage.categories.category_types.Sequences method)
(sage.categories.category_types.SimplicialComplexes method)
(sage.categories.category_with_axiom.Bars method)
(sage.categories.category_with_axiom.Blahs method)
(sage.categories.category_with_axiom.CategoryWithAxiom method)
(sage.categories.category_with_axiom.TestObjects method)
(sage.categories.category_with_axiom.TestObjectsOverBaseRing method)
(sage.categories.classical_crystals.ClassicalCrystals method)
(sage.categories.coalgebras.Coalgebras method)
(sage.categories.commutative_algebra_ideals.CommutativeAlgebraIdeals method)
(sage.categories.commutative_ring_ideals.CommutativeRingIdeals method)
(sage.categories.covariant_functorial_construction.CovariantConstructionCategory method)
(sage.categories.coxeter_groups.CoxeterGroups method)
(sage.categories.crystals.Crystals method)
(sage.categories.domains.Domains method)
(sage.categories.enumerated_sets.EnumeratedSets method)
(sage.categories.euclidean_domains.EuclideanDomains method)
(sage.categories.examples.semigroups_cython.IdempotentSemigroups method)
(sage.categories.examples.with_realizations.SubsetAlgebra.Bases method)
(sage.categories.function_fields.FunctionFields method)
(sage.categories.g_sets.GSets method)
(sage.categories.gcd_domains.GcdDomains method)
(sage.categories.graded_hopf_algebras_with_basis.GradedHopfAlgebrasWithBasis.WithRealizations method)
(sage.categories.groupoid.Groupoid method)
(sage.categories.hecke_modules.HeckeModules method)
(sage.categories.highest_weight_crystals.HighestWeightCrystals method)
(sage.categories.hopf_algebras.HopfAlgebras method)
(sage.categories.lattice_posets.LatticePosets method)
(sage.categories.left_modules.LeftModules method)
(sage.categories.magmas.Magmas method)
(sage.categories.magmas_and_additive_magmas.MagmasAndAdditiveMagmas method)
(sage.categories.magmatic_algebras.MagmaticAlgebras method)
(sage.categories.matrix_algebras.MatrixAlgebras method)
(sage.categories.modular_abelian_varieties.ModularAbelianVarieties method)
(sage.categories.modules.Modules method)
(sage.categories.number_fields.NumberFields method)
(sage.categories.objects.Objects method)
(sage.categories.partially_ordered_monoids.PartiallyOrderedMonoids method)
(sage.categories.permutation_groups.PermutationGroups method)
(sage.categories.pointed_sets.PointedSets method)
(sage.categories.polyhedra.PolyhedralSets method)
(sage.categories.posets.Posets method)
(sage.categories.principal_ideal_domains.PrincipalIdealDomains method)
(sage.categories.quotient_fields.QuotientFields method)
(sage.categories.regular_crystals.RegularCrystals method)
(sage.categories.right_modules.RightModules method)
(sage.categories.ring_ideals.RingIdeals method)
(sage.categories.schemes.Schemes method)
(sage.categories.schemes.Schemes_over_base method)
(sage.categories.sets_cat.Sets method)
(sage.categories.sets_cat.Sets.WithRealizations.ParentMethods.Realizations method)
(sage.categories.sets_with_grading.SetsWithGrading method)
(sage.categories.sets_with_partial_maps.SetsWithPartialMaps method)
(sage.categories.unique_factorization_domains.UniqueFactorizationDomains method)
(sage.categories.vector_spaces.VectorSpaces method)
(sage.categories.weyl_groups.WeylGroups method)
support_of_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
supsets() (sage.categories.examples.with_realizations.SubsetAlgebra method)
SymmetricGroup (class in sage.categories.examples.finite_weyl_groups)
SymmetricGroup.Element (class in sage.categories.examples.finite_weyl_groups)

T

tensor (in module sage.categories.tensor)
tensor() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
(sage.categories.modules_with_basis.ModulesWithBasis.ParentMethods method)
tensor_square() (sage.categories.coalgebras.Coalgebras.ParentMethods method)
TensorProductFunctor (class in sage.categories.tensor)
TensorProducts() (sage.categories.modules.Modules.SubcategoryMethods method)
(sage.categories.tensor.TensorProductsCategory method)
TensorProductsCategory (class in sage.categories.tensor)
TestObjects (class in sage.categories.category_with_axiom)
TestObjects.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjects.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjects.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjects.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjects.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Facade (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Commutative.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Finite (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.FiniteDimensional.Unital.Commutative (class in sage.categories.category_with_axiom)
TestObjectsOverBaseRing.Unital (class in sage.categories.category_with_axiom)
the_answer() (sage.categories.examples.semigroups.QuotientOfLeftZeroSemigroup method)
then() (sage.categories.map.FormalCompositeMap method)
to_highest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_lowest_weight() (sage.categories.crystals.Crystals.ElementMethods method)
to_matrix() (sage.categories.finite_dimensional_algebras_with_basis.FiniteDimensionalAlgebrasWithBasis.ElementMethods method)
toggling_orbit_iter() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
toggling_orbits() (sage.categories.finite_posets.FinitePosets.ParentMethods method)
trailing_coefficient() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_item() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_monomial() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_support() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
trailing_term() (sage.categories.modules_with_basis.ModulesWithBasis.ElementMethods method)
TriangularModuleMorphism (class in sage.categories.modules_with_basis)
truncate() (sage.categories.graded_modules_with_basis.GradedModulesWithBasis.ElementMethods method)
type_to_parent() (in module sage.categories.pushout)

U

uncamelcase() (in module sage.categories.category_with_axiom)
UniqueFactorizationDomains (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ElementMethods (class in sage.categories.unique_factorization_domains)
UniqueFactorizationDomains.ParentMethods (class in sage.categories.unique_factorization_domains)
Unital (sage.categories.associative_algebras.AssociativeAlgebras attribute)
(sage.categories.distributive_magmas_and_additive_magmas.DistributiveMagmasAndAdditiveMagmas.AdditiveAssociative.AdditiveCommutative.AdditiveUnital.Associative attribute)
(sage.categories.magmatic_algebras.MagmaticAlgebras attribute)
(sage.categories.rngs.Rngs attribute)
(sage.categories.semigroups.Semigroups attribute)
Unital() (sage.categories.category_with_axiom.Blahs.SubcategoryMethods method)
(sage.categories.magmas.Magmas.SubcategoryMethods method)
Unital_extra_super_categories() (sage.categories.category_with_axiom.Bars method)
UnitalAlgebras (class in sage.categories.unital_algebras)
UnitalAlgebras.ElementMethods (class in sage.categories.unital_algebras)
UnitalAlgebras.ParentMethods (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis (class in sage.categories.unital_algebras)
UnitalAlgebras.WithBasis.ParentMethods (class in sage.categories.unital_algebras)
unpickle_map() (in module sage.categories.map)
unrank() (sage.categories.enumerated_sets.EnumeratedSets.ParentMethods method)
upper_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
(sage.categories.posets.Posets.ParentMethods method)
upper_set() (sage.categories.posets.Posets.ParentMethods method)

V

VectorFunctor (class in sage.categories.pushout)
VectorSpaces (class in sage.categories.vector_spaces)
VectorSpaces.DualObjects (class in sage.categories.vector_spaces)
VectorSpaces.ElementMethods (class in sage.categories.vector_spaces)
VectorSpaces.ParentMethods (class in sage.categories.vector_spaces)
VectorSpaces.WithBasis (class in sage.categories.vector_spaces)

W

w0() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_covers() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_lattice() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weak_le() (sage.categories.coxeter_groups.CoxeterGroups.ElementMethods method)
weak_order_ideal() (sage.categories.coxeter_groups.CoxeterGroups.ParentMethods method)
weak_poset() (sage.categories.finite_coxeter_groups.FiniteCoxeterGroups.ParentMethods method)
weight() (sage.categories.crystals.Crystals.ElementMethods method)
(sage.categories.regular_crystals.RegularCrystals.ElementMethods method)
weight_lattice_realization() (sage.categories.crystals.Crystals.ParentMethods method)
WeylGroups (class in sage.categories.weyl_groups)
WeylGroups.ElementMethods (class in sage.categories.weyl_groups)
WeylGroups.ParentMethods (class in sage.categories.weyl_groups)
WithBasis (sage.categories.algebras.Algebras attribute)
(sage.categories.coalgebras.Coalgebras attribute)
(sage.categories.hopf_algebras.HopfAlgebras attribute)
(sage.categories.modules.Modules attribute)
WithBasis() (sage.categories.modules.Modules.SubcategoryMethods method)
WithRealizations() (in module sage.categories.with_realizations)
(sage.categories.category.Category method)
WithRealizationsCategory (class in sage.categories.with_realizations)
wrapped_class (sage.categories.examples.finite_monoids.IntegerModMonoid.Element attribute)
(sage.categories.examples.posets.FiniteSetsOrderedByInclusion.Element attribute)

X

xgcd() (sage.categories.fields.Fields.ElementMethods method)

Z

zero() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.CartesianProducts.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)
(sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.WithRealizations.ParentMethods method)
(sage.categories.examples.commutative_additive_monoids.FreeCommutativeAdditiveMonoid method)
(sage.categories.modules.Modules.HomCategory.ParentMethods method)
zero_element() (sage.categories.additive_magmas.AdditiveMagmas.AdditiveUnital.ParentMethods method)

Index

_ | A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | X | Z

Full index on one page