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

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LoadPackage( "GradedRingForHomalg" );

S := GradedRing( HomalgFieldOfRationalsInDefaultCAS( ) * "x,y" );

LoadPackage( "GradedModules" );

m := MaximalGradedLeftIdeal( S );

k := ResidueClassRingAsGradedLeftModule( S );

I := GradedLeftSubmodule( "y", S );

M := FactorObject( I );