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# SPDX-License-Identifier: GPL-2.0-or-later
# GradedModules: A homalg based package for the Abelian category of finitely presented graded modules over computable graded rings
#
# Implementations
#
## LIGrRNG = Logical Implications for homalg GRaded RiNGs
####################################
#
# methods for properties:
#
####################################
##
InstallMethod( IsCohenMacaulay,
"LIGrRNG: for homalg graded rings",
[ IsHomalgGradedRingRep and HasRingRelations ],
function( S )
return IsCohenMacaulay( DefiningIdeal( S ) );
end );
####################################
#
# methods for attributes:
#
####################################
##
InstallMethod( DefiningIdeal,
"LIGrRNG: for homalg graded rings",
[ IsHomalgGradedRingRep and HasRingRelations ],
function( S )
return GradedLeftSubmodule( MatrixOfRelations( S ) );
end );
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