On Simple GP – Injective Modules

In this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular rin...

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Main Authors: Mohammed Youns, Najlaa Jassim
Format: Article
Language:English
Published: Mosul University 2012-07-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163678_ca471e628a174e74221754523777d5c6.pdf
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author Mohammed Youns
Najlaa Jassim
author_facet Mohammed Youns
Najlaa Jassim
author_sort Mohammed Youns
collection DOAJ
description In this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.
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institution OA Journals
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publishDate 2012-07-01
publisher Mosul University
record_format Article
series Al-Rafidain Journal of Computer Sciences and Mathematics
spelling doaj-art-b5056d62d7c04e7cb5f2497e18e2072e2025-08-20T02:23:31ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902012-07-019114715410.33899/csmj.2012.163678163678On Simple GP – Injective ModulesMohammed Youns0Najlaa Jassim1College of Engineering University of MosulCollege of Basic Education University of MosulIn this  paper, we study rings whose simple right R-module are GP-injective. We prove that ring whose simple right R-module is GP-injective it will be right -weakly regular ring. Also, proved that if R is N duo ring or R is NCI ring whose simple right R-module is GP-injective is S-weakly regular ring.https://csmj.mosuljournals.com/article_163678_ca471e628a174e74221754523777d5c6.pdfmodulesweak regular ringsn duo ringnci ring
spellingShingle Mohammed Youns
Najlaa Jassim
On Simple GP – Injective Modules
Al-Rafidain Journal of Computer Sciences and Mathematics
modules
weak regular rings
n duo ring
nci ring
title On Simple GP – Injective Modules
title_full On Simple GP – Injective Modules
title_fullStr On Simple GP – Injective Modules
title_full_unstemmed On Simple GP – Injective Modules
title_short On Simple GP – Injective Modules
title_sort on simple gp injective modules
topic modules
weak regular rings
n duo ring
nci ring
url https://csmj.mosuljournals.com/article_163678_ca471e628a174e74221754523777d5c6.pdf
work_keys_str_mv AT mohammedyouns onsimplegpinjectivemodules
AT najlaajassim onsimplegpinjectivemodules