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7.7.7.0. lpMis2Dim
Procedure from library fpadim.lib (see fpadim_lib).
- 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.
Example:
| | 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
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