Singular

7.7.7.0. lpMis2Dim

Usage:

lpMis2Dim(M); M an ideal

Return:

int, the K-dimension of the factor algebra

Purpose:

Computing the K-dimension out of given mistletoes

Assume:

- basering is a Letterplace ring. G is a Letterplace ideal.
- M contains only monomials

Note:

- The mistletoes have to be ordered lexicographically -> OrdMisLex.

LIB "fpadim.lib";
ring r = 0,(x,y),dp;
def R = makeLetterplaceRing(5); // constructs a Letterplace ring
setring R; // sets basering to Letterplace ring
ideal L = x(1)*y(2),y(1)*x(2)*y(3);
// ideal containing the mistletoes
lpMis2Dim(L); // returns the K-dimension of the factor algebra
==> 6