Coverage for local/lib/python2.7/site-packages/sage/categories/finite_dimensional_coalgebras_with_basis.py : 67%

r""" 

Finite dimensional coalgebras with basis 

""" 

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

# Copyright (C) 2008 Teresa Gomez-Diaz (CNRS) <Teresa.Gomez-Diaz@univ-mlv.fr> 

# 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 FiniteDimensionalCoalgebrasWithBasis(base_ring): 

""" 

The category of finite dimensional coalgebras with a distinguished basis 

EXAMPLES:: 

sage: C = FiniteDimensionalCoalgebrasWithBasis(QQ); C 

Category of finite dimensional coalgebras with basis over Rational Field 

sage: sorted(C.super_categories(), key=str) 

[Category of coalgebras with basis over Rational Field, 

Category of finite dimensional modules with basis over Rational Field] 

sage: C is Coalgebras(QQ).WithBasis().FiniteDimensional() 

True 

TESTS:: 

sage: TestSuite(C).run() 

""" 

from sage.categories.all import CoalgebrasWithBasis 

return CoalgebrasWithBasis(base_ring).FiniteDimensional()