Multiplication modules and projective modules
type: Item
instance of: scholarly article
title: Multiplication modules and projective modules
zbMATH Open document ID: 0824.13008
DOI: 10.1007/BF01876873
author: Patrick F. Smith
published in: Periodica Mathematica Hungarica
publication date: 1995-11-09T00:00:00Z
review text: Several equivalent formulations for a module \(M\) over a commutative ring \(R\) to be a multiplication module are established. If \(M\) is finitely generated, it must be projective over \(R/A\) (where \(A\) is the annihilator of \(M\) in \(R\)) with sme additional properties. In particular, the result of \textit{A. G. Naoum} [Period. Math. Hung. 21, No. 3, 249-255 (1990; Zbl 0739.13004)] is generalized.
Mathematics Subject Classification ID: 13C13
Mathematics Subject Classification ID: 13C10
Mathematics Subject Classification ID: 13E15
zbMATH DE Number: 736863
zbMATH Keywords: multiplication module
MaRDI profile type: Publication
cites work: Q3890802
cites work: Q4056148
cites work: Multiplication modules
cites work: Q4712592
cites work: On the ring of endomorphisms of a finitely generated multiplication module
cites work: On finitely generated projective and flat ideals in commutative rings
cites work: Noninjective Cyclic Modules
cites work: Some remarks on multiplication modules
cites work: Projective Ideals of Finite Type
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description: scientific article; zbMATH DE number 736863