ID | 53042 |
フルテキストURL | |
著者 |
Kör, Arda
Department of Mathematics, Gebze Institute of Technology
Quynh, Truong Cong
Department of Mathematics Danang University
Şahinkaya, Serap
Department of Mathematics, Gebze Institute of Technology
Koşan, Muhammet Tamer
Department of Mathematics, Gebze Institute of Technology
|
抄録 | 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.
|
キーワード | regular module
supplemented module
|
発行日 | 2015-01
|
出版物タイトル |
Mathematical Journal of Okayama University
|
巻 | 57巻
|
号 | 1号
|
出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
開始ページ | 99
|
終了ページ | 110
|
ISSN | 0030-1566
|
NCID | AA00723502
|
資料タイプ |
学術雑誌論文
|
言語 |
英語
|
著作権者 | Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
|
論文のバージョン | publisher
|
査読 |
有り
|
Submission Path | mjou/vol57/iss1/5
|
JaLCDOI |