Results 1 to 10 of about 3,934 (110)
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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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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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 ...
, Yang Lee, Chan Yong Hong
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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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SSFحول الحلقات المنتظمة الضعیفة [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2006 Raida D. Mahmood
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الحلقات المنتظمة بضعف من النمط s [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 Raida D. Mahmood +1 more
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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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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).
Ian M Aberbach
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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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