Graded Algebras

class sage.categories.graded_algebras.GradedAlgebras(base_category)

Bases: sage.categories.graded_modules.GradedModulesCategory

The category of graded algebras

EXAMPLES:

sage: GradedAlgebras(ZZ)
Category of graded algebras over Integer Ring
sage: GradedAlgebras(ZZ).super_categories()
[Category of filtered algebras over Integer Ring,
 Category of graded modules over Integer Ring]
class ElementMethods
class ParentMethods
graded_algebra()

Return the associated graded algebra to self.

Since self is already graded, this just returns self.

EXAMPLES:

sage: m = SymmetricFunctions(QQ).m()
sage: m.graded_algebra() is m
True