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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( "RingsForHomalg" );

LoadPackage( "Modules" );

R := HomalgRingOfIntegersInDefaultCAS( );
k := LeftPresentation( [[1,2,3],[3,4,5]], R );
l := LeftPresentation( [[4,5,6,0],[0,2,0,2]], R );
hm := Hom( l, k );
map := HomalgMap( GetGenerators( hm, 1 ), l, k );
hommap := Hom( l, map );