A survey of associated and coassociated primes
type: Item
instance of: scholarly article
title: A survey of associated and coassociated primes
zbMATH Open document ID: 0983.13001
author: Siamak Yassemi
published in: Vietnam Journal of Mathematics
publication date: 2001-09-16T00:00:00Z
review text: Let \(R\) be a commutative ring. An \(R\)-module \(L\) is said to be cocyclic if \(L\) is isomorphic to a submodule of \(E(R/m)\) for some maximal ideal \(m\) of \(R\). Let \(M\) be an \(R\)-module. A prime ideal \(p\) of \(R\) is called a coassociated prime of \(M\) if there exists a cocyclic homomorphic image \(L\) of \(M\) such that \(p=\text{Ann}(L)\). The author gives a survey of some recent research on associated and coassociated primes. Some open questions and further directions of research are presented.
reviewed by: Iuliu Crivei
Mathematics Subject Classification ID: 13A15
zbMATH DE Number: 1556453
zbMATH Keywords: cocyclic module
zbMATH Keywords: associated primes
zbMATH Keywords: coassociated prime
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1556453