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ArticleOriginal scientific text

Title

Some remarks on Prüfer modules

Authors 1, 1, 1

Affiliations

  1. Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914 Rasht, Iran

Abstract

We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.

Keywords

ENG
Prüfer modules, Prüfer domains, invertible submodules, duo modules, forcing linearity number

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Discussiones Mathematicae - General Algebra and Applications
2013/33/2
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Pages:
121-128
Main language of publication
English
Received
2012-04-28
Accepted
2013-06-16
Published
2013

DOI: 10.7151/dmgaa.1201

Exact and natural sciences