gap> A:=NakayamaAlgebra([4,4,3,2,2,1],GF(3));
<GF(3)[<quiver with 6 vertices and 5 arrows>]/
<two-sided ideal in <GF(3)[<quiver with 6 vertices and 5 arrows>]>, (2 generators)>>
gap> rels := RelationsOfAlgebra(A);
[ (Z(3)^0)*a1*a2*a3*a4, (Z(3)^0)*a4*a5 ]
gap> newrels := Filtered( rels, r -> LengthOfPath(TipMonomial(r)) < 3 );
[ (Z(3)^0)*a4*a5 ]
gap> kQ := OriginalPathAlgebra(A);
<GF(3)[<quiver with 6 vertices and 5 arrows>]>
gap> B := kQ/newrels;
<GF(3)[<quiver with 6 vertices and 5 arrows>]/
<two-sided ideal in <GF(3)[<quiver with 6 vertices and 5 arrows>]>, (1 generators)>>