Finite dimensional algebras with basis¶
Todo
Quotients of polynomial rings.
Quotients in general.
Matrix rings.
REFERENCES:
-
sage.categories.finite_dimensional_algebras_with_basis.
FiniteDimensionalAlgebrasWithBasis
¶ The category of finite dimensional algebras with a distinguished basis.
EXAMPLES:
sage: C = FiniteDimensionalAlgebrasWithBasis(QQ); C Category of finite dimensional algebras with basis over Rational Field sage: C.super_categories() [Category of algebras with basis over Rational Field, Category of finite dimensional magmatic algebras with basis over Rational Field] sage: C.example() An example of a finite dimensional algebra with basis: the path algebra of the Kronecker quiver (containing the arrows a:x->y and b:x->y) over Rational Field