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7.10.1.1 lpKDimCheck
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- lpKDimCheck(G);
- Return:
- int, 1 if K-dimension of the factor algebra is infinite, 0 otherwise
- Purpose:
- Checking a factor algebra for finiteness of the K-dimension
- Assume:
- - basering is a Letterplace ring.
Example:
| | LIB "fpadim.lib";
ring r = 0,(x,y),dp;
def R = freeAlgebra(r, 5); // constructs a Letterplace ring
setring R; // sets basering to Letterplace ring
ideal G = x*x, y*y,x*y*x;
// Groebner basis
ideal I = x*x, y*x*y, x*y*x;
// Groebner basis
lpKDimCheck(G); // invokes procedure, factor algebra is of finite K-dimension
==> 0
lpKDimCheck(I); // invokes procedure, factor algebra is of infinite Kdimension
==> 1
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