A New Approach to Primary Decomposition

摘要

The first purpose of this paper is to describe a new mathematical approach for the computation of an irredundant primary decomposition of a given polynomial ideal I. This presentation will be formed for three parts: a decomposition of the associated radical ideal √I to an intersection of prime ideals Pi, then the determination of ideals Ii whose radical is prime (equal to Pi), and finally, the extraction of the possible embedded components included in Ii.