On Almost Weakly np – injective Rings

The ring R is called right almost weakly np –injective, if for any , there exists a positive integer n and a left ideal  of R such that . In this paper, we give some characterization and properties of almost weakly np – injective rings. And we study the regularity of right almost weakly np – injecti...

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Main Authors: Raida Mahmood, Amaar Ghaze
Format: Article
Language:Arabic
Published: Mosul University 2018-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163575_e0c7eb14154b9774b6a7e8728a40c8e5.pdf
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author Raida Mahmood
Amaar Ghaze
author_facet Raida Mahmood
Amaar Ghaze
author_sort Raida Mahmood
collection DOAJ
description The ring R is called right almost weakly np –injective, if for any , there exists a positive integer n and a left ideal  of R such that . In this paper, we give some characterization and properties of almost weakly np – injective rings. And we study the regularity of right almost weakly np – injective ring and in the same time, when every simple (simple singular) right R – module is almost weakly np – injective, we also give some properties of an R.
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spelling doaj.art-c8c40c969cbb4ab3acfd31f2ed3b21772022-12-22T01:17:49ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902018-12-01122253010.33899/csmj.2018.163575163575On Almost Weakly np – injective RingsRaida Mahmood0Amaar Ghaze1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics College of Computer Science and Mathematics University of Mosul, Mosul, IraqThe ring R is called right almost weakly np –injective, if for any , there exists a positive integer n and a left ideal  of R such that . In this paper, we give some characterization and properties of almost weakly np – injective rings. And we study the regularity of right almost weakly np – injective ring and in the same time, when every simple (simple singular) right R – module is almost weakly np – injective, we also give some properties of an R.https://csmj.mosuljournals.com/article_163575_e0c7eb14154b9774b6a7e8728a40c8e5.pdfnp – injective ringreducedregular rings
spellingShingle Raida Mahmood
Amaar Ghaze
On Almost Weakly np – injective Rings
Al-Rafidain Journal of Computer Sciences and Mathematics
np – injective ring
reduced
regular rings
title On Almost Weakly np – injective Rings
title_full On Almost Weakly np – injective Rings
title_fullStr On Almost Weakly np – injective Rings
title_full_unstemmed On Almost Weakly np – injective Rings
title_short On Almost Weakly np – injective Rings
title_sort on almost weakly np injective rings
topic np – injective ring
reduced
regular rings
url https://csmj.mosuljournals.com/article_163575_e0c7eb14154b9774b6a7e8728a40c8e5.pdf
work_keys_str_mv AT raidamahmood onalmostweaklynpinjectiverings
AT amaarghaze onalmostweaklynpinjectiverings