Bialgebras¶
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class
sage.categories.bialgebras.Bialgebras(base, name=None)¶ Bases:
sage.categories.category_types.Category_over_base_ringThe category of bialgebras
EXAMPLES:
sage: Bialgebras(ZZ) Category of bialgebras over Integer Ring sage: Bialgebras(ZZ).super_categories() [Category of algebras over Integer Ring, Category of coalgebras over Integer Ring]
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class
Super(base_category)¶
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WithBasis¶ alias of
sage.categories.bialgebras_with_basis.BialgebrasWithBasis
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additional_structure()¶ Return
None.Indeed, the category of bialgebras defines no additional structure: a morphism of coalgebras and of algebras between two bialgebras is a bialgebra morphism.
See also
Todo
This category should be a
CategoryWithAxiom.EXAMPLES:
sage: Bialgebras(QQ).additional_structure()
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super_categories()¶ EXAMPLES:
sage: Bialgebras(QQ).super_categories() [Category of algebras over Rational Field, Category of coalgebras over Rational Field]
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class