The Schröder–Bernstein problem for dual F-Baer modules
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Published:2021-03-26
Issue:
Volume:
Page:2250131
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. Department of Mathematics, Hacettepe University, 06800 Beytepe, Ankara, Turkey
Abstract
In this paper we introduce dual [Formula: see text]-Baer modules and give a characterization of them. Let [Formula: see text] be a module and [Formula: see text] a fully invariant submodule of [Formula: see text]. [Formula: see text] is called dual [Formula: see text]-Baer if for every family of endomorphisms [Formula: see text] of [Formula: see text], [Formula: see text] is a direct summand of [Formula: see text]. We prove that [Formula: see text] is dual [Formula: see text]-Baer if and only if [Formula: see text] for some submodule [Formula: see text] of [Formula: see text] with [Formula: see text] dual Baer. We obtain a positive solution for the Schröder–Bernstein problem for certain dual [Formula: see text]-Baer modules.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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