| LIB "fpaprops.lib";
ring r = 0,(x,y,z),dp;
def R = makeLetterplaceRing(5); // constructs a Letterplace ring
R;
==> // coefficients: QQ
==> // number of vars : 15
==> // block 1 : ordering Dp
==> // : names x y z x y z x y z x y z x y z
==> // block 2 : ordering C
==> // letterplace ring (block size 3)
setring R; // sets basering to Letterplace ring
ideal I = z;//an example of infinite GK dimension
lpGkDim(I);
==> -1
I = x,y,z; // gkDim = 0
lpGkDim(I);
==> 0
I = x*y, x*z, z*y, z*z;//gkDim = 2
lpGkDim(I);
==> 2
ideal G = y*x - x*y, z*x - x*z, z*y - y*z; G = std(G);
G;
==> G[1]=y*z-z*y
==> G[2]=x*z-z*x
==> G[3]=x*y-y*x
lpGkDim(G); // 3, as expected for K[x,y,z]
==> 3
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