Graded coalgebras with basis#
- class sage.categories.graded_coalgebras_with_basis.GradedCoalgebrasWithBasis(base_category)#
Bases:
GradedModulesCategory
The category of graded coalgebras with a distinguished basis.
EXAMPLES:
sage: C = GradedCoalgebrasWithBasis(QQ); C Category of graded coalgebras with basis over Rational Field sage: C is Coalgebras(QQ).WithBasis().Graded() True
- class SignedTensorProducts(category, *args)#
Bases:
SignedTensorProductsCategory
The category of coalgebras with basis constructed by signed tensor product of coalgebras with basis.
- extra_super_categories()#
EXAMPLES:
sage: Cat = CoalgebrasWithBasis(QQ).Graded() sage: Cat.SignedTensorProducts().extra_super_categories() [Category of graded coalgebras with basis over Rational Field] sage: Cat.SignedTensorProducts().super_categories() [Category of graded coalgebras with basis over Rational Field, Category of signed tensor products of graded coalgebras over Rational Field]