Graded Hopf algebras

class sage.categories.graded_hopf_algebras.GradedHopfAlgebras(base, name=None)

Bases: sage.categories.category_types.Category_over_base_ring

The category of GradedHopf algebras with several bases

EXAMPLES:

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

TESTS:

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

class ElementMethods

class GradedHopfAlgebras.ParentMethods

GradedHopfAlgebras.super_categories(*args, **kwds)

EXAMPLES:

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