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الحلقات المنتظمة بضعف من النمط s [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 The purpose of this paper is to study a new class of rings R in which, for each a Î R, aÎ aR aR, for some positive integer n. Such rings are called sp-weakly regular rings and give some of their basic properties as well as the relation between sp-weakly
Raida D. Mahmood +1 more
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SSFحول الحلقات المنتظمة الضعیفة [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z
Raida D. Mahmood
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When Rings of Continuous Functions Are Weakly Regular [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 It is well known that, for any Tychonoff space \(X\), the ring \(C(X)\) is regular in the sense of von Neumann precisely when \(X\) is a \(P\)-space. This result also holds in the broader context of pointfree topology. Indeed, denoting the ring of real-valued continuous functions on a frame \(L\) by \(\mathcal RL\), then \(\mathcal RL\) is a regular ...
Themba Dube
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Journal of Pure and Applied Algebra, 2006 It is well known that weak regularity is equivalent to regularity and biregularity for left Artinian rings. In this paper the authors prove the following result: for a ring \(R\) satisfying the ACC on right annihilators, if \(R\) is left weakly regular then \(R\) is biregular, and that \(R\) is left weakly regular if and only if \(R\) is a direct ...
Kyoung Hwan Kim
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حول حلقات المنتظمة بضعف -n [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 Raida D. Mahammod, Mohammed Th. Al-Neimi
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حول الحلقات النتظمة بضعف من النمط sπ [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 Raida D. Mahmood +1 more
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Some properties on group-graded weakly regular rings(群分次弱正则环的若干性质)
Zhejiang Daxue xuebao. Lixue ban, 2006 首先引入群分次弱正则环的概念，在此基础上证明了 ：(1)设G是群，J是K的分次理想，Jσ=Kσ∩J，则K是群分次弱正则环当且仅当J和K/J是群分次弱正则环.(2)假设K是一个环，n是任一正整数，则K是群分次弱正剐的当且仅当Mn(K）是群分次弱正则的.如果K是群G分次环，则Ke是K的子环，且1∈Ke（其中e是群G的单位元）.得到了群G-分次环K与Ke的一些关系.再者，引进了分次半平坦模的概念，并有如下主要结果：环K是分次弱正则的当且仅当所有右K-模是分次半平坦的.群分次弱正则环推广了群分次正则环 ...
WANGGuo-jun(汪国军)
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الحلقات المنتظمة الضعیفة من النمط - Sπ [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 Shahla M. Khalil
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Some contribution to study of general relative prime and weakly prime bi-hyperideals in ordered hypersemigroups [PDF]
European Journal of Mathematics and Applications, 2022 In this paper, we introduce G-hyperideal, G-prime hyperideal, G-prime-bi-hyperideal, and G-weakly prime hyperideal in ordered semihypergroups and we also define G-regular ordered hypersemigroups as well as G-semisimple ordered hypersemigroups.
A. Basar +4 more
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On almost s-weakly regular rings
Turkish Journal of Mathematics, 2022 An element $a$ of $R$ is called s-weakly regular (SWR) if $a\in aRa^2R$. A ring $R$ is called an almost SWR if for any $a\in R$, either $a$ or $1-a$ is SWR. In this paper, we introduce almost SWR rings as the generalization of abelian von Neumann local (VNL) rings and SWR rings.
Jangra, Kanchan, Udar, Dinesh
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