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r""" Graded Algebras """ #***************************************************************************** # Copyright (C) 2008 Teresa Gomez-Diaz (CNRS) <Teresa.Gomez-Diaz@univ-mlv.fr> # 2008-2011 Nicolas M. Thiery <nthiery at users.sf.net> # # Distributed under the terms of the GNU General Public License (GPL) # http://www.gnu.org/licenses/ #******************************************************************************
from sage.categories.graded_modules import GradedModulesCategory
class GradedAlgebras(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]
TESTS::
sage: TestSuite(GradedAlgebras(ZZ)).run() """ class ParentMethods: def graded_algebra(self): """ 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 """ return self
class ElementMethods: pass
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