On finitely generated multiplication ideals in commutative rings
type: Item
instance of: scholarly article
title: On finitely generated multiplication ideals in commutative rings
zbMATH Open document ID: 0589.13011
author: Adil G. Naoum
author: Majid M. Balboul
published in: Beiträge zur Algebra und Geometrie
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138294
review text: This paper is concerned with multiplication ideals in a commutative ring R with identity: an ideal I of R is called a multiplication ideal if for every ideal J of R with \(J\subseteq I\) there exists an ideal K of R such that \(J=IK\). The paper focusses on sums and intersections of finitely generated multiplication ideals, and related matters.
Mathematics Subject Classification ID: 13F05
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13E15
Mathematics Subject Classification ID: 13A05
zbMATH DE Number: 3946300
zbMATH Keywords: Prüfer domain
zbMATH Keywords: semi-hereditary ring
zbMATH Keywords: arithmetical ring
zbMATH Keywords: finitely generated multiplication ideals
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3946300