On n - Regular Rings

As a generalization of <em>regular rings</em>, that is a ring is called <em>n-regular</em> if  for all . In this paper, we first  give  various properties of <em>n-regular</em> rings. Also, we study the relation between such rings and <em>reduced</em>...

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Main Authors: Raida Mahmood, Mohammed Youns
Format: Article
Language:Arabic
Published: Mosul University 2011-12-01
Series:Al-Rafidain Journal of Computer Sciences and Mathematics
Subjects:
Online Access:https://csmj.mosuljournals.com/article_163641_0fde291979101ae136f9997d763f4134.pdf
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author Raida Mahmood
Mohammed Youns
author_facet Raida Mahmood
Mohammed Youns
author_sort Raida Mahmood
collection DOAJ
description As a generalization of <em>regular rings</em>, that is a ring is called <em>n-regular</em> if  for all . In this paper, we first  give  various properties of <em>n-regular</em> rings. Also, we study the relation between such rings and <em>reduced</em> <em>rings</em> by adding some types of rings, such as <em>NCI rings</em>, and other types of rings.
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spelling doaj.art-5a6cf9ba52ee4d299c0a2bbefeb6ffab2022-12-21T20:59:52ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902011-12-0182535910.33899/csmj.2011.163641163641On n - Regular RingsRaida Mahmood0Mohammed Youns1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Engineering University of MosulAs a generalization of <em>regular rings</em>, that is a ring is called <em>n-regular</em> if  for all . In this paper, we first  give  various properties of <em>n-regular</em> rings. Also, we study the relation between such rings and <em>reduced</em> <em>rings</em> by adding some types of rings, such as <em>NCI rings</em>, and other types of rings.https://csmj.mosuljournals.com/article_163641_0fde291979101ae136f9997d763f4134.pdfn-regular ringsn flat modulesreduced ringsnil-injective
spellingShingle Raida Mahmood
Mohammed Youns
On n - Regular Rings
Al-Rafidain Journal of Computer Sciences and Mathematics
n-regular rings
n flat modules
reduced rings
nil-injective
title On n - Regular Rings
title_full On n - Regular Rings
title_fullStr On n - Regular Rings
title_full_unstemmed On n - Regular Rings
title_short On n - Regular Rings
title_sort on n regular rings
topic n-regular rings
n flat modules
reduced rings
nil-injective
url https://csmj.mosuljournals.com/article_163641_0fde291979101ae136f9997d763f4134.pdf
work_keys_str_mv AT raidamahmood onnregularrings
AT mohammedyouns onnregularrings