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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( "homalg" );

ZZ := HomalgRingOfIntegers( );
R := ZZ / 2^8;

r := 3 * One( R );

Assert( 0, IsRegular( r ) );

s := 2 * One( R );

Assert( 0, not IsRegular( s ) );