On WJCP-Injective Rings

As a generalization of right injective rings, we introduce the nation of right injective rings, that is for any right nonsingular element  of R, there exists a positive integer  and  and any right - homomorphism , there exists  such that  for all . In this paper, we first introduce and characterize...

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Main Authors: Raida Mahmood, Shahla Khalil
Format: Article
Language:Arabic
Published: Mosul University 2013-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163542_04f497372253ffcfbe0e3267867be28f.pdf
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spelling doaj-ee1c87b4404c4d4bb929e4930291b0922020-11-25T04:05:58ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902013-12-01104131910.33899/csmj.2013.163542163542On WJCP-Injective RingsRaida Mahmood0Shahla Khalil1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, IraqAs a generalization of right injective rings, we introduce the nation of right injective rings, that is for any right nonsingular element  of R, there exists a positive integer  and  and any right - homomorphism , there exists  such that  for all . In this paper, we first introduce and characterize a right injective rings . Next , connection between such ring and quasi regular rings and weakly regular rings.https://csmj.mosuljournals.com/article_163542_04f497372253ffcfbe0e3267867be28f.pdfright injective ringsquasi regular ringsweakly regular rings
collection DOAJ
language Arabic
format Article
sources DOAJ
author Raida Mahmood
Shahla Khalil
spellingShingle Raida Mahmood
Shahla Khalil
On WJCP-Injective Rings
Al-Rafidain Journal of Computer Sciences and Mathematics
right injective rings
quasi regular rings
weakly regular rings
author_facet Raida Mahmood
Shahla Khalil
author_sort Raida Mahmood
title On WJCP-Injective Rings
title_short On WJCP-Injective Rings
title_full On WJCP-Injective Rings
title_fullStr On WJCP-Injective Rings
title_full_unstemmed On WJCP-Injective Rings
title_sort on wjcp-injective rings
publisher Mosul University
series Al-Rafidain Journal of Computer Sciences and Mathematics
issn 1815-4816
2311-7990
publishDate 2013-12-01
description As a generalization of right injective rings, we introduce the nation of right injective rings, that is for any right nonsingular element  of R, there exists a positive integer  and  and any right - homomorphism , there exists  such that  for all . In this paper, we first introduce and characterize a right injective rings . Next , connection between such ring and quasi regular rings and weakly regular rings.
topic right injective rings
quasi regular rings
weakly regular rings
url https://csmj.mosuljournals.com/article_163542_04f497372253ffcfbe0e3267867be28f.pdf
work_keys_str_mv AT raidamahmood onwjcpinjectiverings
AT shahlakhalil onwjcpinjectiverings
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