Graded algebras with basis¶

class
sage.categories.graded_algebras_with_basis.
GradedAlgebrasWithBasis
(base_category)¶ Bases:
sage.categories.graded_modules.GradedModulesCategory
The category of graded algebras with a distinguished basis
EXAMPLES:
sage: C = GradedAlgebrasWithBasis(ZZ); C Category of graded algebras with basis over Integer Ring sage: sorted(C.super_categories(), key=str) [Category of filtered algebras with basis over Integer Ring, Category of graded algebras over Integer Ring, Category of graded modules with basis over Integer Ring]

class
ElementMethods
¶

class
ParentMethods
¶ 
graded_algebra
()¶ Return the associated graded algebra to
self
.This is
self
, becauseself
is already graded. Seegraded_algebra()
for the general behavior of this method, and seeAssociatedGradedAlgebra
for the definition and properties of associated graded algebras.EXAMPLES:
sage: m = SymmetricFunctions(QQ).m() sage: m.graded_algebra() is m True


class