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## Bahman Engheta's Thesis: Bounds on Projective Dimension, Example 1.5
LoadPackage( "RingsForHomalg" );
R := HomalgFieldOfRationalsInDefaultCAS( ) * "a,b,c,d,e,f";
LoadPackage( "Modules" );
I := LeftSubmodule( "a*c*e, b*d*f, a*b*c*d + a*b*e*f + c*d*e*f", R );
M := FactorObject( I );
Assert( 0, ProjectiveDimension( M ) = 5 );
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