Results 1 to 10 of about 51,002 (217)
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 Mahmood, Abdullah Abdul-Jabbar
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On n-Weakly Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 As a generalization of right weakly regular rings, we introduce the notion of right n-weakly regular rings, i.e. for all aN(R), aaRaR. In this paper, first give various properties of right n-weakly regular rings.
Raida Mahammod, Mohammed Al-Neimi
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On sπ-Weakly Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 A ring R is said to be right(left) sp-weakly regular if for each a Î R and a positive integer n, aÎ aR aR (aÎ R aR a). In this paper, we continue to study sp-weakly regular rings due to R. D. Mahmood and A. M. Abdul-Jabbar [8].
Raida Mahmood, Abdullah Abdul-Jabbar
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On Sπ Weakly Regular Rings, II [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 The main purpose of this paper is to study right(left) Weakly regular rings. also we give some properties of Weakly regular rings, and the connection between such rings and CS-rings, MGP-rings and SSGP-rings.
Shahla Khalil
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On Weakly Regular Rings and SSF-rings [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 Mahmood
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On almost s-weakly regular rings
Turkish Journal of Mathematics, 2022 The paper under review is devoted to the comprehensive study of almost s-weakly regular rings. In fact, an element \(a\in R\) of a ring \(R\) is called \textit{s-weakly regular}, provided \(a\in aRa^2R\). If each element of \(R\) is s-weakly regular, the ring \(R\) is respectively also caled \textit{s-weakly regular}.
Jangra, Kanchan, Udar, Dinesh
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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 ...
Dube, Themba, Nsayi, Jissy Nsonde
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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 ...
Hong, Chan Yong +4 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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Extension of Weakly and Strongly F-Regular Rings by Flat Maps
Journal of Algebra, 2001 Let (R,m) -> (S,n) be a flat local homomorphism of excellent local rings. We investigate the conditions under which the weak or strong F-regularity of R passes to S. We show that is suffices that the closed fiber S/mS be Gorenstein and either F-finite (if R and S have a common test element), or F-rational (otherwise).
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