"Source: Text/Algebra/AlgFP.text";
"Line: 1345";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Algebra/AlgFP.text, line: 1345
// Example: H91E5 ()
print "Example: H91E5";
ei := GetEchoInput();
SetEchoInput(true);
F<x,y,z> := FreeAlgebra(RationalField(), 3);
I := ideal<F | (x + y)^3, (y - z)^2, y^2*z + z>;
NormalForm(y^2*z + z, I);
assert $1 eq 0;
NormalForm(x^3, I);
NormalForm(z^4 + y^2, I);
x + y in I;
assert not $1;
SetEchoInput(ei);
