#### D.4.21.6 minAssGTZ

Procedure from library `primdec.lib` (see primdec_lib).

Usage:
  minAssGTZ(I[, l]); I ideal, l list (optional)
  Optional parameters in list l (can be entered in any order):
  0, "facstd" -> uses facstd to first decompose the ideal (default)
  1, "noFacstd" -> does not use facstd
  "GTZ" -> the original algorithm by Gianni, Trager and Zacharias is used
  "SL" -> GTZ algorithm with modificiations by Laplagne is used (default)

Return:
  a list, the minimal associated prime ideals of proper ideal I, otherwise ideal(1)

Note:
  - Designed for characteristic 0, works also in char k > 0 based on an algorithm of Yokoyama
  - For local orderings, the result is considered in the localization of the polynomial ring, not in the power series ring
  - For local and mixed orderings, the decomposition in the corresponding global ring is returned if the string 'global' is specified as second argument

Example:

    LIB "primdec.lib";
    ring  r = 0,(x,y,z),dp;
    poly  p = z2+1;
    poly  q = z3+2;
    ideal i = p*q^2,y-z2;
    list pr = minAssGTZ(i);
    pr;
    ==> [1]:
    ==>    _[1]=z2+1
    ==>    _[2]=-z2+y
    ==> [2]:
    ==>    _[1]=z3+2
    ==>    _[2]=-z2+y

User manual for Singular version 4-0-3, 2016, generated by texi2html.