Volume 10, Issue 2 (7-2024)
mmr 2024, 10(2): 34-50 |
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Zahiri M, Zahiri S. Study of Weak associated primes Ore extensions. mmr 2024; 10 (2) :34-50
URL: http://mmr.khu.ac.ir/article-1-3236-en.html
URL: http://mmr.khu.ac.ir/article-1-3236-en.html
1- Higher Education center of Eghlid , m.zahiri86@gmail.com, m.zahiri@eghlid.ac.ir
2- Higher Education center of Eghlid
2- Higher Education center of Eghlid
Abstract: (893 Views)
We introduce the notion of nil δ -weakly rigid rings which is a generalization of reduced rings and δ -compatible rings. I Ouyang introduces the notion of weak associated primes and proved that, there is correspondence one to one between weak associated primes of and , when is δ-compatible and reversible. We extend this result to the more general situation that, when is nil δ -weakly rigid and quasi-IFP. Note that the notions nil δ -weakly rigid and quasi-IFP can be transfer to but this is not true for δ-compatibility and reversibility property.
Keywords: nil δ -weakly rigid rings, Weak associated primes, Differential polynomial rings, Quasi IFP-rings.
Type of Study: Original Manuscript |
Subject:
alg
Received: 2021/10/4 | Revised: 2024/08/17 | Accepted: 2023/08/27 | Published: 2024/04/27 | ePublished: 2024/04/27
Received: 2021/10/4 | Revised: 2024/08/17 | Accepted: 2023/08/27 | Published: 2024/04/27 | ePublished: 2024/04/27
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