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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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#############################################################################
##
##  GradedSubmodule.gd             Graded Modules package
##
##  Copyright 2010,      Mohamed Barakat, University of Kaiserslautern
##                       Markus Lange-Hegermann, RWTH Aachen
##
##  Declaration stuff for graded submodules.
##
#############################################################################


####################################
#
# attributes:
#
####################################

DeclareAttribute( "MaximalGradedLeftIdeal",
        IsHomalgGradedRing );

DeclareAttribute( "MaximalGradedRightIdeal",
        IsHomalgGradedRing );

DeclareAttribute( "ResidueClassRingAsGradedLeftModule",
        IsHomalgGradedRing );

DeclareAttribute( "ResidueClassRingAsGradedRightModule",
        IsHomalgGradedRing );

DeclareAttribute( "JacobianIdeal",
        IsHomalgModule );

DeclareAttribute( "JacobianIdeal",
        IsHomalgRingElement );

####################################
#
# global functions and operations:
#
####################################

# basic operations

DeclareOperation( "GradedLeftSubmodule",
        [ IsHomalgMatrix ] );

DeclareOperation( "GradedLeftSubmodule",
        [ IsHomalgRing ] );

DeclareOperation( "GradedLeftSubmodule",
        [ IsList ] );

DeclareOperation( "GradedLeftSubmodule",
        [ IsHomalgRingElement ] );

DeclareOperation( "GradedLeftSubmodule",
        [ IsList, IsHomalgRing ] );

DeclareOperation( "GradedRightSubmodule",
        [ IsHomalgMatrix ] );

DeclareOperation( "GradedRightSubmodule",
        [ IsHomalgRing ] );

DeclareOperation( "GradedRightSubmodule",
        [ IsList ] );

DeclareOperation( "GradedRightSubmodule",
        [ IsHomalgRingElement ] );

DeclareOperation( "GradedRightSubmodule",
        [ IsList, IsHomalgRing ] );

DeclareOperation( "GradedLeftIdealOfMinors",
        [ IsInt, IsHomalgMatrix ] );

DeclareOperation( "GradedLeftIdealOfMaximalMinors",
        [ IsHomalgMatrix ] );

DeclareOperation( "GradedRightIdealOfMinors",
        [ IsInt, IsHomalgMatrix ] );

DeclareOperation( "GradedRightIdealOfMaximalMinors",
        [ IsHomalgMatrix ] );