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__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)
,
[1]
_repr_() (sage.categories.category.Category method)
,
[1]
_repr_object_names() (sage.categories.category.Category method)
,
[1]
(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 static 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)
,
[1]
(sage.categories.category_with_axiom.CategoryWithAxiom method)
A
AbelianCategory (class in sage.categories.category_types)
AbelianLieAlgebra (in module sage.categories.examples.finite_dimensional_lie_algebras_with_basis)
(in module sage.categories.examples.lie_algebras_with_basis)
act() (sage.categories.action.Action method)
Action (class in sage.categories.action)
ActionEndomorphism (class in sage.categories.action)
actor() (sage.categories.action.Action method)
add() (sage.categories.category_cy_helper.AxiomContainer method)
AdditiveGroups (in module sage.categories.additive_groups)
AdditiveMagmas (in module sage.categories.additive_magmas)
AdditiveMonoids (in module sage.categories.additive_monoids)
AdditiveSemigroups (in module sage.categories.additive_semigroups)
AffineWeylGroups (in module sage.categories.affine_weyl_groups)
AlgebraFunctor (in module sage.categories.algebra_functor)
AlgebraicClosureFunctor (class in sage.categories.pushout)
AlgebraicExtensionFunctor (class in sage.categories.pushout)
AlgebraIdeals (in module sage.categories.algebra_ideals)
AlgebraModules (in module sage.categories.algebra_modules)
Algebras (in module sage.categories.algebras)
AlgebrasCategory (in module sage.categories.algebra_functor)
AlgebrasWithBasis (in module sage.categories.algebras_with_basis)
ambient() (sage.categories.category_types.Category_in_ambient method)
(sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
(sage.categories.examples.semigroups.IncompleteSubquotientSemigroup method)
an_instance() (sage.categories.category_types.Category_ideal class method)
AperiodicSemigroups (class in sage.categories.aperiodic_semigroups)
AssociativeAlgebras (in module sage.categories.associative_algebras)
axiom() (in module sage.categories.category_with_axiom)
axiom_of_nested_class() (in module sage.categories.category_with_axiom)
AxiomContainer (class in sage.categories.category_cy_helper)
B
Bars (in module sage.categories.category_with_axiom)
base() (sage.categories.homsets.HomsetsCategory method)
base_category_class_and_axiom() (in module sage.categories.category_with_axiom)
base_ring() (sage.categories.category_types.Category_over_base_ring method)
Bialgebras (in module sage.categories.bialgebras)
BialgebrasWithBasis (in module sage.categories.bialgebras_with_basis)
Bimodules (in module sage.categories.bimodules)
BlackBoxConstructionFunctor (class in sage.categories.pushout)
Blahs (in module sage.categories.category_with_axiom)
C
CallMorphism (class in sage.categories.morphism)
canonicalize_axioms() (in module sage.categories.category_cy_helper)
cartan_type() (sage.categories.crystals.CrystalMorphism method)
CartesianProductFunctor (in module sage.categories.cartesian_product)
CartesianProductsCategory (in module sage.categories.cartesian_product)
Category (in module sage.categories.category)
category() (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_graph() (in module sage.categories.category)
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_over_base (in module sage.categories.category_types)
Category_over_base_ring (class in sage.categories.category_types)
Category_realization_of_parent (in module sage.categories.realizations)
category_sample() (in module sage.categories.category)
Category_singleton (in module sage.categories.category_singleton)
category_sort_key() (in module sage.categories.category_cy_helper)
CategoryWithAxiom (in module 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 (in module sage.categories.category)
ChainComplexes (in module sage.categories.category_types)
ClassicalCrystals (in module sage.categories.classical_crystals)
Coalgebras (in module sage.categories.coalgebras)
CoalgebrasWithBasis (in module 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)
(sage.categories.poor_man_map.PoorManMap method)
common_base() (sage.categories.pushout.ConstructionFunctor method)
(sage.categories.pushout.MultivariateConstructionFunctor method)
Commutative_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
CommutativeAdditiveGroups (in module sage.categories.commutative_additive_groups)
CommutativeAdditiveMonoids (in module sage.categories.commutative_additive_monoids)
CommutativeAdditiveSemigroups (in module sage.categories.commutative_additive_semigroups)
CommutativeAlgebraIdeals (in module sage.categories.commutative_algebra_ideals)
CommutativeAlgebras (in module sage.categories.commutative_algebras)
CommutativeRingIdeals (in module sage.categories.commutative_ring_ideals)
CommutativeRings (in module sage.categories.commutative_rings)
commutes() (sage.categories.pushout.CompletionFunctor method)
(sage.categories.pushout.ConstructionFunctor method)
CompleteDiscreteValuationFields (in module sage.categories.complete_discrete_valuation)
CompleteDiscreteValuationRings (in module sage.categories.complete_discrete_valuation)
CompletionFunctor (class in sage.categories.pushout)
ComplexManifolds (in module sage.categories.manifolds)
ComplexReflectionGroups (in module sage.categories.complex_reflection_groups)
ComplexReflectionOrGeneralizedCoxeterGroups (in module sage.categories.complex_reflection_or_generalized_coxeter_groups)
CompositeConstructionFunctor (class in sage.categories.pushout)
construction_tower() (in module sage.categories.pushout)
ConstructionFunctor (class in sage.categories.pushout)
CovariantConstructionCategory (in module sage.categories.covariant_functorial_construction)
CovariantFunctorialConstruction (in module sage.categories.covariant_functorial_construction)
CoxeterGroupAlgebras (class in sage.categories.coxeter_group_algebras)
CoxeterGroupAlgebras.ParentMethods (class in sage.categories.coxeter_group_algebras)
CoxeterGroups (in module sage.categories.coxeter_groups)
CrystalHomset (class in sage.categories.crystals)
CrystalMorphism (class in sage.categories.crystals)
CrystalMorphismByGenerators (class in sage.categories.crystals)
Crystals (in module sage.categories.crystals)
CWComplexes (in module sage.categories.cw_complexes)
Cycle (in module sage.categories.examples.graphs)
D
default_super_categories() (sage.categories.graded_modules.GradedModulesCategory class method)
(sage.categories.homsets.HomsetsCategory class method)
(sage.categories.isomorphic_objects.IsomorphicObjectsCategory class method)
(sage.categories.metric_spaces.MetricSpacesCategory class method)
(sage.categories.quotients.QuotientsCategory class method)
(sage.categories.subobjects.SubobjectsCategory class method)
(sage.categories.super_modules.SuperModulesCategory class method)
demazure_lusztig_eigenvectors() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operator_on_basis() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
demazure_lusztig_operators() (sage.categories.coxeter_group_algebras.CoxeterGroupAlgebras.ParentMethods method)
DihedralGroup (in module sage.categories.examples.finite_coxeter_groups)
DiscreteValuationFields (in module sage.categories.discrete_valuation)
DiscreteValuationRings (in module sage.categories.discrete_valuation)
DistributiveMagmasAndAdditiveMagmas (in module sage.categories.distributive_magmas_and_additive_magmas)
DivisionRings (in module 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)
(sage.categories.poor_man_map.PoorManMap method)
Domains (in module sage.categories.domains)
domains() (sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
DualFunctor (in module sage.categories.dual)
DualObjectsCategory (class in sage.categories.dual)
E
Element (sage.categories.crystals.CrystalHomset attribute)
(sage.categories.highest_weight_crystals.HighestWeightCrystalHomset attribute)
element_class_set_morphism() (sage.categories.homset.Homset method)
Elements (in module sage.categories.category_types)
EmptySetError
End() (in module sage.categories.homset)
end() (in module sage.categories.homset)
EnumeratedSets (in module sage.categories.enumerated_sets)
EuclideanDomains (in module sage.categories.euclidean_domains)
Example (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.cw_complexes)
(in module sage.categories.examples.finite_coxeter_groups)
(in module sage.categories.examples.finite_dimensional_algebras_with_basis)
(in module sage.categories.examples.finite_dimensional_lie_algebras_with_basis)
(in module sage.categories.examples.finite_enumerated_sets)
(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.graded_connected_hopf_algebras_with_basis)
(in module sage.categories.examples.graded_modules_with_basis)
(in module sage.categories.examples.graphs)
(in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.lie_algebras)
(in module sage.categories.examples.lie_algebras_with_basis)
(in module sage.categories.examples.manifolds)
(in module sage.categories.examples.monoids)
(in module sage.categories.examples.sets_with_grading)
example() (sage.categories.facade_sets.FacadeSets 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)
expand_tower() (in module sage.categories.pushout)
extend_codomain() (sage.categories.map.Map method)
extend_domain() (sage.categories.map.Map method)
extra_super_categories() (sage.categories.aperiodic_semigroups.AperiodicSemigroups method)
(sage.categories.j_trivial_semigroups.JTrivialSemigroups method)
(sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
(sage.categories.r_trivial_semigroups.RTrivialSemigroups method)
F
facade_for() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
FacadeSets (class in sage.categories.facade_sets)
FacadeSets.ParentMethods (class in sage.categories.facade_sets)
Fields (in module sage.categories.fields)
FilteredAlgebras (in module sage.categories.filtered_algebras)
FilteredAlgebrasWithBasis (in module sage.categories.filtered_algebras_with_basis)
FilteredModules (in module sage.categories.filtered_modules)
FilteredModulesCategory (class in sage.categories.filtered_modules)
FilteredModulesWithBasis (in module sage.categories.filtered_modules_with_basis)
Finite_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
FiniteComplexReflectionGroups (in module sage.categories.finite_complex_reflection_groups)
FiniteCoxeterGroups (in module sage.categories.finite_coxeter_groups)
FiniteCrystals (in module sage.categories.finite_crystals)
FiniteDimensionalAlgebrasWithBasis (in module 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)
FiniteDimensionalGradedLieAlgebrasWithBasis (in module sage.categories.finite_dimensional_graded_lie_algebras_with_basis)
FiniteDimensionalHopfAlgebrasWithBasis (in module sage.categories.finite_dimensional_hopf_algebras_with_basis)
FiniteDimensionalLieAlgebrasWithBasis (in module sage.categories.finite_dimensional_lie_algebras_with_basis)
FiniteDimensionalModulesWithBasis (in module sage.categories.finite_dimensional_modules_with_basis)
FiniteDimensionalNilpotentLieAlgebrasWithBasis (in module sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis)
FiniteDimensionalSemisimpleAlgebrasWithBasis (in module sage.categories.finite_dimensional_semisimple_algebras_with_basis)
FiniteEnumeratedSets (in module sage.categories.finite_enumerated_sets)
FiniteFields (in module sage.categories.finite_fields)
FiniteGroups (in module sage.categories.finite_groups)
FiniteLatticePosets (in module sage.categories.finite_lattice_posets)
FinitelyGeneratedMagmas (in module sage.categories.finitely_generated_magmas)
FinitelyGeneratedSemigroups (in module sage.categories.finitely_generated_semigroups)
FiniteMonoids (in module sage.categories.finite_monoids)
FinitePermutationGroups (in module sage.categories.finite_permutation_groups)
FinitePosets (in module sage.categories.finite_posets)
FiniteSemigroups (in module sage.categories.finite_semigroups)
FiniteSets (in module sage.categories.finite_sets)
FiniteSetsOrderedByInclusion (in module sage.categories.examples.posets)
FiniteWeylGroups (in module sage.categories.finite_weyl_groups)
first() (sage.categories.map.FormalCompositeMap 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)
FractionField (class in sage.categories.pushout)
FreeAlgebra (in module sage.categories.examples.algebras_with_basis)
FreeCommutativeAdditiveMonoid (in module sage.categories.examples.commutative_additive_monoids)
FreeCommutativeAdditiveSemigroup (in module sage.categories.examples.commutative_additive_semigroups)
FreeMonoid (in module sage.categories.examples.monoids)
FreeSemigroup (in module sage.categories.examples.semigroups)
FunctionFields (in module sage.categories.function_fields)
Functor (class in sage.categories.functor)
FunctorialConstructionCategory (in module sage.categories.covariant_functorial_construction)
G
G (sage.categories.action.Action attribute)
GcdDomains (in module sage.categories.gcd_domains)
GeneralizedCoxeterGroups (in module sage.categories.generalized_coxeter_groups)
gens() (sage.categories.pushout.PermutationGroupFunctor method)
get_axiom_index() (in module sage.categories.category_cy_helper)
GradedAlgebras (in module sage.categories.graded_algebras)
GradedAlgebrasWithBasis (in module 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)
GradedConnectedCombinatorialHopfAlgebraWithPrimitiveGenerator (in module sage.categories.examples.graded_connected_hopf_algebras_with_basis)
GradedHopfAlgebras() (in module sage.categories.graded_hopf_algebras)
GradedHopfAlgebrasWithBasis (in module sage.categories.graded_hopf_algebras_with_basis)
GradedLieAlgebras (in module sage.categories.graded_lie_algebras)
GradedLieAlgebrasWithBasis (in module sage.categories.graded_lie_algebras_with_basis)
GradedModules (in module sage.categories.graded_modules)
GradedModulesCategory (class in sage.categories.graded_modules)
GradedModulesWithBasis (in module sage.categories.graded_modules_with_basis)
GradedPartitionModule (in module sage.categories.examples.graded_modules_with_basis)
Graphs (in module sage.categories.graphs)
group() (sage.categories.algebra_functor.GroupAlgebraFunctor method)
GroupAlgebraFunctor (class in sage.categories.algebra_functor)
GroupAlgebras (in module sage.categories.group_algebras)
Groupoid (in module sage.categories.groupoid)
Groups (in module sage.categories.groups)
GSets (in module sage.categories.g_sets)
H
HeckeModules (in module sage.categories.hecke_modules)
HighestWeightCrystalHomset (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalMorphism (class in sage.categories.highest_weight_crystals)
HighestWeightCrystalOfTypeA (in module sage.categories.examples.crystals)
HighestWeightCrystals (in module sage.categories.highest_weight_crystals)
Hom() (in module sage.categories.homset)
hom() (in module sage.categories.homset)
Homset (class in sage.categories.homset)
homset_category() (sage.categories.homset.Homset method)
Homsets (in module sage.categories.homsets)
HomsetsCategory (class in sage.categories.homsets)
HomsetsOf (in module sage.categories.homsets)
HomsetWithBase (class in sage.categories.homset)
HopfAlgebras (in module sage.categories.hopf_algebras)
HopfAlgebrasWithBasis (in module sage.categories.hopf_algebras_with_basis)
HTrivialSemigroups (class in sage.categories.h_trivial_semigroups)
I
IdempotentSemigroups (class in sage.categories.examples.semigroups_cython)
IdempotentSemigroups.ElementMethods (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)
im_gens() (sage.categories.crystals.CrystalMorphismByGenerators method)
image() (sage.categories.crystals.CrystalMorphismByGenerators method)
IncompleteSubquotientSemigroup (class in sage.categories.examples.semigroups)
IncompleteSubquotientSemigroup.Element (class in sage.categories.examples.semigroups)
IndexedPolynomialRing (in module sage.categories.examples.lie_algebras_with_basis)
InfiniteEnumeratedSets (in module sage.categories.infinite_enumerated_sets)
InfinitePolynomialFunctor (class in sage.categories.pushout)
IntegerModMonoid (in module sage.categories.examples.finite_monoids)
IntegersCompletion (in module sage.categories.examples.facade_sets)
IntegralDomains (in module sage.categories.integral_domains)
inverse() (sage.categories.map.Section method)
Inverse_extra_super_categories() (sage.categories.h_trivial_semigroups.HTrivialSemigroups method)
InverseAction (class in sage.categories.action)
is_abelian() (sage.categories.category_types.AbelianCategory method)
is_Category() (in module sage.categories.category)
is_endomorphism() (sage.categories.morphism.Morphism method)
is_Endset() (in module sage.categories.homset)
is_Functor() (in module sage.categories.functor)
is_Homset() (in module sage.categories.homset)
is_idempotent() (sage.categories.examples.semigroups_cython.IdempotentSemigroups.ElementMethods method)
is_identity() (sage.categories.morphism.IdentityMorphism method)
(sage.categories.morphism.Morphism method)
is_injective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.morphism.IdentityMorphism method)
is_left() (sage.categories.action.Action method)
is_Map() (in module sage.categories.map)
is_Morphism() (in module sage.categories.morphism)
is_parent_of() (sage.categories.facade_sets.FacadeSets.ParentMethods method)
is_surjective() (sage.categories.crystals.CrystalMorphism method)
(sage.categories.map.FormalCompositeMap method)
(sage.categories.map.Map method)
(sage.categories.morphism.IdentityMorphism method)
IsomorphicObjectOfFiniteEnumeratedSet (class in sage.categories.examples.finite_enumerated_sets)
IsomorphicObjectsCategory (class in sage.categories.isomorphic_objects)
J
join_as_tuple() (in module sage.categories.category_cy_helper)
JoinCategory (in module sage.categories.category)
JTrivialSemigroups (class in sage.categories.j_trivial_semigroups)
K
KacMoodyAlgebras (in module sage.categories.kac_moody_algebras)
KirillovReshetikhinCrystals (in module sage.categories.loop_crystals)
KroneckerQuiverPathAlgebra (in module sage.categories.examples.finite_dimensional_algebras_with_basis)
L
LatticePosets (in module sage.categories.lattice_posets)
LaurentPolynomialFunctor (class in sage.categories.pushout)
left_domain() (sage.categories.action.Action method)
left_precomposition (sage.categories.action.PrecomposedAction attribute)
LeftModules (in module sage.categories.left_modules)
LeftRegularBand (in module sage.categories.examples.finite_semigroups)
LeftZeroSemigroup (in module sage.categories.examples.semigroups)
(in module sage.categories.examples.semigroups_cython)
LeftZeroSemigroupElement (class in sage.categories.examples.semigroups_cython)
LieAlgebraFromAssociative (in module sage.categories.examples.lie_algebras)
LieAlgebras (in module sage.categories.lie_algebras)
LieAlgebrasWithBasis (in module sage.categories.lie_algebras_with_basis)
LieGroups (in module sage.categories.lie_groups)
lift() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
LiftMorphism (class in sage.categories.lie_algebras)
LocalEnergyFunction (class in sage.categories.loop_crystals)
LoopCrystals (in module sage.categories.loop_crystals)
LTrivialSemigroups (class in sage.categories.l_trivial_semigroups)
M
Magmas (in module sage.categories.magmas)
MagmasAndAdditiveMagmas (in module sage.categories.magmas_and_additive_magmas)
MagmaticAlgebras (in module sage.categories.magmatic_algebras)
Manifolds (in module sage.categories.manifolds)
Map (class in sage.categories.map)
MatrixAlgebras (in module sage.categories.matrix_algebras)
MatrixFunctor (class in sage.categories.pushout)
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)
MetricSpaces (in module sage.categories.metric_spaces)
MetricSpacesCategory (class in sage.categories.metric_spaces)
ModularAbelianVarieties (in module sage.categories.modular_abelian_varieties)
Modules (in module sage.categories.modules)
ModulesWithBasis (in module sage.categories.modules_with_basis)
MonoidAlgebras() (in module sage.categories.monoid_algebras)
Monoids (in module sage.categories.monoids)
Morphism (class in sage.categories.morphism)
MultiPolynomialFunctor (class in sage.categories.pushout)
MultivariateConstructionFunctor (class in sage.categories.pushout)
MyGroupAlgebra (in module sage.categories.examples.hopf_algebras_with_basis)
N
NaiveCrystal (in module sage.categories.examples.crystals)
natural_map() (sage.categories.homset.Homset method)
NonNegativeIntegers (in module sage.categories.examples.infinite_enumerated_sets)
(in module sage.categories.examples.sets_with_grading)
NumberFields (in module sage.categories.number_fields)
O
Objects (in module sage.categories.objects)
one() (sage.categories.homset.Homset method)
op (sage.categories.action.Action attribute)
operation() (sage.categories.action.Action method)
P
parent() (sage.categories.map.Map method)
PartiallyOrderedMonoids (in module sage.categories.partially_ordered_monoids)
PermutationGroupFunctor (class in sage.categories.pushout)
PermutationGroups (in module sage.categories.permutation_groups)
Plane (in module sage.categories.examples.manifolds)
PointedSets (in module sage.categories.pointed_sets)
PolyhedralSets (in module sage.categories.polyhedra)
PolynomialFunctor (class in sage.categories.pushout)
PoorManMap (class in sage.categories.poor_man_map)
Posets (in module sage.categories.posets)
PositiveIntegerMonoid (in module sage.categories.examples.facade_sets)
PositiveIntegersOrderedByDivisibilityFacade (in module sage.categories.examples.posets)
post_compose() (sage.categories.map.Map method)
pre_compose() (sage.categories.map.Map method)
PrecomposedAction (class in sage.categories.action)
PrimeNumbers (in module sage.categories.examples.sets_cat)
PrimeNumbers_Abstract (in module sage.categories.examples.sets_cat)
PrimeNumbers_Facade (in module sage.categories.examples.sets_cat)
PrimeNumbers_Inherits (in module sage.categories.examples.sets_cat)
PrimeNumbers_Wrapper (in module sage.categories.examples.sets_cat)
PrincipalIdealDomains (in module sage.categories.principal_ideal_domains)
print_compare() (in module sage.categories.sets_cat)
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
QuantumGroupRepresentations (in module sage.categories.quantum_group_representations)
QuotientFields (in module sage.categories.quotient_fields)
QuotientFunctor (class in sage.categories.pushout)
QuotientOfLeftZeroSemigroup (in module sage.categories.examples.semigroups)
QuotientsCategory (class in sage.categories.quotients)
R
Realizations() (in module sage.categories.realizations)
RealizationsCategory (in module sage.categories.realizations)
register_as_coercion() (sage.categories.morphism.Morphism method)
register_as_conversion() (sage.categories.morphism.Morphism method)
RegressiveCovariantConstructionCategory (in module sage.categories.covariant_functorial_construction)
RegularCrystals (in module sage.categories.regular_crystals)
RegularLoopCrystals (in module sage.categories.loop_crystals)
RegularSuperCrystals (in module sage.categories.regular_supercrystals)
retract() (sage.categories.examples.finite_enumerated_sets.IsomorphicObjectOfFiniteEnumeratedSet method)
reversed() (sage.categories.homset.Homset method)
right_domain() (sage.categories.action.Action method)
right_precomposition (sage.categories.action.PrecomposedAction attribute)
RightModules (in module sage.categories.right_modules)
ring() (sage.categories.category_types.Category_ideal method)
RingIdeals (in module sage.categories.ring_ideals)
Rings (in module sage.categories.rings)
Rngs (in module sage.categories.rngs)
RTrivial_extra_super_categories() (sage.categories.l_trivial_semigroups.LTrivialSemigroups method)
RTrivialSemigroups (class in sage.categories.r_trivial_semigroups)
S
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.aperiodic_semigroups (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_cy_helper (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.coercion_methods (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.complete_discrete_valuation (module)
sage.categories.complex_reflection_groups (module)
sage.categories.complex_reflection_or_generalized_coxeter_groups (module)
sage.categories.covariant_functorial_construction (module)
sage.categories.coxeter_group_algebras (module)
sage.categories.coxeter_groups (module)
sage.categories.crystals (module)
sage.categories.cw_complexes (module)
sage.categories.discrete_valuation (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.cw_complexes (module)
sage.categories.examples.facade_sets (module)
sage.categories.examples.finite_coxeter_groups (module)
sage.categories.examples.finite_dimensional_algebras_with_basis (module)
sage.categories.examples.finite_dimensional_lie_algebras_with_basis (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.graded_connected_hopf_algebras_with_basis (module)
sage.categories.examples.graded_modules_with_basis (module)
sage.categories.examples.graphs (module)
sage.categories.examples.hopf_algebras_with_basis (module)
sage.categories.examples.infinite_enumerated_sets (module)
sage.categories.examples.lie_algebras (module)
sage.categories.examples.lie_algebras_with_basis (module)
sage.categories.examples.manifolds (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.filtered_algebras (module)
sage.categories.filtered_algebras_with_basis (module)
sage.categories.filtered_modules (module)
sage.categories.filtered_modules_with_basis (module)
sage.categories.finite_complex_reflection_groups (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_graded_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_hopf_algebras_with_basis (module)
sage.categories.finite_dimensional_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_modules_with_basis (module)
sage.categories.finite_dimensional_nilpotent_lie_algebras_with_basis (module)
sage.categories.finite_dimensional_semisimple_algebras_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.finitely_generated_magmas (module)
sage.categories.finitely_generated_semigroups (module)
sage.categories.function_fields (module)
sage.categories.functor (module)
sage.categories.g_sets (module)
sage.categories.gcd_domains (module)
sage.categories.generalized_coxeter_groups (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_lie_algebras (module)
sage.categories.graded_lie_algebras_with_basis (module)
sage.categories.graded_modules (module)
sage.categories.graded_modules_with_basis (module)
sage.categories.graphs (module)
sage.categories.group_algebras (module)
sage.categories.groupoid (module)
sage.categories.groups (module)
sage.categories.h_trivial_semigroups (module)
sage.categories.hecke_modules (module)
sage.categories.highest_weight_crystals (module)
sage.categories.homset (module)
sage.categories.homsets (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.j_trivial_semigroups (module)
sage.categories.kac_moody_algebras (module)
sage.categories.l_trivial_semigroups (module)
sage.categories.lattice_posets (module)
sage.categories.left_modules (module)
sage.categories.lie_algebras (module)
sage.categories.lie_algebras_with_basis (module)
sage.categories.lie_groups (module)
sage.categories.loop_crystals (module)
sage.categories.magmas (module)
sage.categories.magmas_and_additive_magmas (module)
sage.categories.magmatic_algebras (module)
sage.categories.manifolds (module)
sage.categories.map (module)
sage.categories.matrix_algebras (module)
sage.categories.metric_spaces (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.poor_man_map (module)
sage.categories.posets (module)
sage.categories.primer (module)
sage.categories.principal_ideal_domains (module)
sage.categories.pushout (module)
sage.categories.quantum_group_representations (module)
sage.categories.quotient_fields (module)
sage.categories.quotients (module)
sage.categories.r_trivial_semigroups (module)
sage.categories.realizations (module)
sage.categories.regular_crystals (module)
sage.categories.regular_supercrystals (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.semisimple_algebras (module)
sage.categories.sets_cat (module)
sage.categories.sets_with_grading (module)
sage.categories.sets_with_partial_maps (module)
sage.categories.shephard_groups (module)
sage.categories.simplicial_complexes (module)
sage.categories.simplicial_sets (module)
sage.categories.subobjects (module)
sage.categories.subquotients (module)
sage.categories.super_algebras (module)
sage.categories.super_algebras_with_basis (module)
sage.categories.super_hopf_algebras_with_basis (module)
sage.categories.super_modules (module)
sage.categories.super_modules_with_basis (module)
sage.categories.tensor (module)
sage.categories.topological_spaces (module)
sage.categories.triangular_kac_moody_algebras (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)
scaling_factors() (sage.categories.crystals.CrystalMorphism method)
Schemes (in module sage.categories.schemes)
Schemes_over_base (in module sage.categories.schemes)
second() (sage.categories.map.FormalCompositeMap method)
Section (class in sage.categories.map)
section() (sage.categories.map.Map method)
(sage.categories.morphism.IdentityMorphism method)
Semigroups (in module sage.categories.semigroups)
Semirings (in module sage.categories.semirings)
SemisimpleAlgebras (in module sage.categories.semisimple_algebras)
SetMorphism (class in sage.categories.morphism)
Sets (in module sage.categories.sets_cat)
SetsWithGrading (in module sage.categories.sets_with_grading)
SetsWithPartialMaps (in module sage.categories.sets_with_partial_maps)
ShephardGroups (in module sage.categories.shephard_groups)
SimplicialComplexes (in module sage.categories.simplicial_complexes)
SimplicialSets (in module sage.categories.simplicial_sets)
SubobjectsCategory (class in sage.categories.subobjects)
SubquotientsCategory (class in sage.categories.subquotients)
SubsetAlgebra (in module sage.categories.examples.with_realizations)
SubspaceFunctor (class in sage.categories.pushout)
super_categories() (sage.categories.examples.semigroups_cython.IdempotentSemigroups method)
SuperAlgebras (in module sage.categories.super_algebras)
SuperAlgebrasWithBasis (in module sage.categories.super_algebras_with_basis)
SuperHopfAlgebrasWithBasis (in module sage.categories.super_hopf_algebras_with_basis)
SuperModules (in module sage.categories.super_modules)
SuperModulesCategory (class in sage.categories.super_modules)
SuperModulesWithBasis (in module sage.categories.super_modules_with_basis)
Surface (in module sage.categories.examples.cw_complexes)
SymmetricGroup (in module sage.categories.examples.finite_weyl_groups)
T
tensor (in module sage.categories.tensor)
TensorProductFunctor (in module sage.categories.tensor)
TensorProductsCategory (in module sage.categories.tensor)
TestObjects (in module sage.categories.category_with_axiom)
TestObjectsOverBaseRing (in module sage.categories.category_with_axiom)
then() (sage.categories.map.FormalCompositeMap method)
to_module_generator() (sage.categories.crystals.CrystalMorphismByGenerators method)
TopologicalSpaces (in module sage.categories.topological_spaces)
TopologicalSpacesCategory (class in sage.categories.topological_spaces)
TriangularKacMoodyAlgebras (in module sage.categories.triangular_kac_moody_algebras)
type_to_parent() (in module sage.categories.pushout)
U
uncamelcase() (in module sage.categories.category_with_axiom)
UniqueFactorizationDomains (in module sage.categories.unique_factorization_domains)
UnitalAlgebras (in module sage.categories.unital_algebras)
unpickle_map() (in module sage.categories.map)
V
VectorFunctor (class in sage.categories.pushout)
VectorSpaces (in module sage.categories.vector_spaces)
virtualization() (sage.categories.crystals.CrystalMorphism method)
W
WeylGroups (in module sage.categories.weyl_groups)
WithRealizations() (in module sage.categories.with_realizations)
WithRealizationsCategory (in module sage.categories.with_realizations)
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