LIB "fpaprops.lib";
ring r = 0,(x,y,z),dp;
ring R = freeAlgebra(r, 5);
ideal I = z; // infinite GK dimension (-1)
lpGkDim(I);
==> WARNING: `lpGkDim` is deprecated, you can use `dim` instead.
==> -1
I = x,y,z; I = std(I); // GK dimension 0
lpGkDim(I);
==> WARNING: `lpGkDim` is deprecated, you can use `dim` instead.
==> 0
I = x*y, x*z, z*y, z*z; I = std(I); // GK dimension 2
lpGkDim(I);
==> WARNING: `lpGkDim` is deprecated, you can use `dim` instead.
==> 2
ideal G = y*x - x*y, z*x - x*z, z*y - y*z; G = std(G);
G;
==> G[1]=z*y-y*z
==> G[2]=z*x-x*z
==> G[3]=y*x-x*y
lpGkDim(G); // GK dimension 3
==> WARNING: `lpGkDim` is deprecated, you can use `dim` instead.
==> 3