Exchanging torsion modules over Dedekind domains
type: Item
instance of: scholarly article
title: Exchanging torsion modules over Dedekind domains
zbMATH Open document ID: 0677.13002
DOI: 10.1007/BF01191164
published in: Archiv der Mathematik
publication date: 1990-01-01T00:00:00Z
review text: It is shown that over a Dedekind domain, every torsion module which has the finite exchange property in the sense of \textit{P. Crawley} and \textit{B. Jónsson} [Pac. J. Math. 14, 797-855 (1964; Zbl 0134.255)] must have the unrestricted exchange property.
Mathematics Subject Classification ID: 13C05
Mathematics Subject Classification ID: 13F05
Mathematics Subject Classification ID: 20K25
Mathematics Subject Classification ID: 13C12
Mathematics Subject Classification ID: 20K10
zbMATH DE Number: 4108897
zbMATH Keywords: direct-sum decompositions
zbMATH Keywords: Dedekind domain
zbMATH Keywords: torsion module
zbMATH Keywords: exchange property
author: Birge Zimmermann Huisgen
MaRDI profile type: Publication
cites work: On direct sums and products of modules
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cites work: Classes of modules with the exchange property
description: scientific article; zbMATH DE number 4108897