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D.4.18.4 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 I.

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:
 


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