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7.7.7.0. lpOrdMisLex
Procedure from library fpadim.lib (see fpadim_lib).
- Usage:
- lpOrdMisLex(M); M an ideal of mistletoes
- Return:
- ideal, containing the mistletoes, ordered lexicographically
- Purpose:
- A given set of mistletoes is ordered lexicographically
- Assume:
- - basering is a Letterplace ring. G is a Letterplace ideal.
- Note:
- This is preprocessing, it is not needed if the mistletoes are returned
from the sickle algorithm.
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 M = x(1)*y(2)*x(3), y(1)*y(2)*x(3), x(1)*x(2), y(1)*x(2)*x(3)*x(4);
// some monomials
lpOrdMisLex(M); // orders the monomials lexicographically
==> _[1]=x(1)*x(2)
==> _[2]=x(1)*y(2)*x(3)
==> _[3]=y(1)*x(2)*x(3)*x(4)
==> _[4]=y(1)*y(2)*x(3)
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