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ID 53042
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Author
Kör, Arda
Quynh, Truong Cong
Şahinkaya, Serap
Koşan, Muhammet Tamer
Abstract
In the present paper, left R-modules M and N are studied under the assumptions that HomR(M,N) is supplemented. It is shown that Hom(M,N) is (⊕, G*, amply)-supplemented if and only if N is (⊕, G*, amply)-supplemented. Some applications to cosemisimple modules, refinable modules and UCC-modules are presented. Finally, the relationship between the Jacobson radical J[M,N] of HomR(M,N) and HomR(M,N) is supplemented are investigated. Let M be a finitely generated, self-projective left R-module and N ∈ Gen(M). We show that if Hom(M,N) is supplemented and N has GD2 then Hom(M,N)/J(M,N) is semisimple as a left EM-module.
Keywords
regular module
supplemented module
Published Date
2015-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume57
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
99
End Page
110
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol57/iss1/5