# Graded bialgebras with basis¶

class sage.categories.graded_bialgebras_with_basis.GradedBialgebrasWithBasis(base, name=None)

The category of graded bialgebras with a distinguished basis

EXAMPLES:

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


TESTS:

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

class ElementMethods
class GradedBialgebrasWithBasis.ParentMethods
GradedBialgebrasWithBasis.super_categories()

EXAMPLES:

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


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