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7.7.9.0. lpGkDim
Procedure from library fpaprops.lib (see fpaprops_lib).

Usage:
lpGkDim(G); G an ideal in a letterplace ring

Return:
int

Purpose:
Determines the Gelfand Kirillov dimension of A/<G>
-1 means it is positive infinite

Assume:
- basering is a Letterplace ring
- G is a Groebner basis

Example:
 
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(1) y(1) z(1) x(2) y(2) z(2) x(3) y(3) z(\
   3) x(4) y(4) z(4) x(5) y(5) z(5)
==> //        block   2 : ordering C
==> // letterplace ring
setring R; // sets basering to Letterplace ring
ideal I = z(1);//an example of infinite GK dimension
lpGkDim(I);
==> -1
I = x(1),y(1),z(1); // gkDim = 0
lpGkDim(I);
==> 0
I = x(1)*y(2), x(1)*z(2), z(1)*y(2), z(1)*z(2);//gkDim = 2
lpGkDim(I);
==> 2


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