Singular Manual: lpOrdMisLex

| ##### 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. 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)

User manual for Singular version 4-1-1p3, 2018, generated by texi2html.