Graded bialgebras with basis¶

sage.categories.graded_bialgebras_with_basis.GradedBialgebrasWithBasis(base_ring)[source]¶

The category of graded bialgebras with a distinguished basis.

EXAMPLES:

Sage

sage: C = GradedBialgebrasWithBasis(QQ); C
Join of Category of ...
sage: sorted(C.super_categories(), key=str)
[Category of bialgebras with basis over Rational Field,
 Category of graded algebras with basis over Rational Field,
 Category of graded coalgebras with basis over Rational Field]

Python

>>> from sage.all import *
>>> C = GradedBialgebrasWithBasis(QQ); C
Join of Category of ...
>>> sorted(C.super_categories(), key=str)
[Category of bialgebras with basis over Rational Field,
 Category of graded algebras with basis over Rational Field,
 Category of graded coalgebras with basis over Rational Field]