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r""" 

Graded Hopf 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/ 

#****************************************************************************** 

 

def GradedHopfAlgebras(base_ring): 

""" 

The category of graded Hopf algebras. 

 

EXAMPLES:: 

 

sage: C = GradedHopfAlgebras(QQ); C 

Join of Category of hopf algebras over Rational Field 

and Category of graded algebras over Rational Field 

sage: C is HopfAlgebras(QQ).Graded() 

True 

 

TESTS:: 

 

sage: TestSuite(C).run() 

""" 

from sage.categories.all import HopfAlgebras 

return HopfAlgebras(base_ring).Graded()