ID | 53042 |
FullText URL | |
Author |
Kör, Arda
Quynh, Truong Cong
Şahinkaya, Serap
Koşan, Muhammet Tamer
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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.
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Keywords | regular module
supplemented module
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Published Date | 2015-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume57
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 99
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End Page | 110
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol57/iss1/5
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JaLCDOI |