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7.7.7.0. lpMis2Base
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- lpMis2Base(M); M an ideal
- Return:
- ideal, a K-basis of the factor algebra
- Purpose:
- Computing a K-basis 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
lpMis2Base(L); // returns the K-basis of the factor algebra
==> _[1]=y(1)
==> _[2]=y(1)*x(2)
==> _[3]=y(1)*x(2)*y(3)
==> _[4]=x(1)
==> _[5]=x(1)*y(2)
==> _[6]=1
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