بیست و پنجمین سمینار جبر ایران , 2016-07-19

Title : ( Some results on the associated primes of powers of ideals )

Authors: مهرداد ناصرنژاد , Kazem Khashyarmanesh ,
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Abstract

In this talk, we first focus on the associated primes of powers of (square-free) monomial ideals in polynomial rings. We next extend the notion of the persistence property for monomial ideals to a family of ideals in commutative Noetherian rings, and then we state some results in this subject.

Keywords

, Associated prime ideals, Stable set, Persistence property, Family of ideals, u.s.d-sequences.