# Graded bialgebras¶

class sage.categories.graded_bialgebras.GradedBialgebras(base, name=None)

The category of bialgebras with several bases

EXAMPLES:

sage: GradedBialgebras(ZZ)
Category of graded bialgebras over Integer Ring
sage: GradedBialgebras(ZZ).super_categories()
[Category of graded algebras over Integer Ring, Category of graded coalgebras over Integer Ring, Category of bialgebras over Integer Ring]


TESTS:

sage: TestSuite(GradedBialgebras(ZZ)).run()

class ElementMethods
class GradedBialgebras.ParentMethods
GradedBialgebras.super_categories()

EXAMPLES:

sage: GradedBialgebras(QQ).super_categories()
[Category of graded algebras over Rational Field, Category of graded coalgebras over Rational Field, Category of bialgebras over Rational Field]


#### Previous topic

Graded algebras with basis

#### Next topic

Graded bialgebras with basis