Finite dimensional bialgebras with basis

sage.categories.finite_dimensional_bialgebras_with_basis.FiniteDimensionalBialgebrasWithBasis(base_ring)

The category of finite dimensional bialgebras with a distinguished basis.

EXAMPLES:

Sage

sage: C = FiniteDimensionalBialgebrasWithBasis(QQ); C
Category of finite dimensional bialgebras with basis over Rational Field
sage: sorted(C.super_categories(), key=str)
[Category of bialgebras with basis over Rational Field,
 Category of finite dimensional algebras with basis over Rational Field]
sage: C is Bialgebras(QQ).WithBasis().FiniteDimensional()
True

Python

>>> from sage.all import *
>>> C = FiniteDimensionalBialgebrasWithBasis(QQ); C
Category of finite dimensional bialgebras with basis over Rational Field
>>> sorted(C.super_categories(), key=str)
[Category of bialgebras with basis over Rational Field,
 Category of finite dimensional algebras with basis over Rational Field]
>>> C is Bialgebras(QQ).WithBasis().FiniteDimensional()
True