Results 11 to 20 of about 82,151 (248)
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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Extension of Weakly and Strongly F-Regular Rings by Flat Maps [PDF]
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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On Weakly Tripotent and Locally Invo-Regular Rings
, 2023 In this article some important observations have been reported on recent works related to weakly tripotent rings and locally invo-regular rings. Our findings give additional results as well as correct some recent results on weakly tripotent rings and locally invo-regular rings appeared in Rendiconti Sem. Mat. Univ. Pol.
S K Pandey
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On Weakly von Neumann regular rings [PDF]
, 2009 In this paper, we define and study a particular case of von Neumann regular notion called a weak von Neumann regular ring. It shown that the polynomial ring $R[x]$ is weak von Neumann regular if and only if $R$ has exactly two idempotent elements. We provide necessary and sufficient conditions for $ R=A\propto E $ to be a weak von Neumann ring.
Kabbour, Mohammed, Mahdou, Najib
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Some Results on W-regular Rings
NTU Journal of Pure SciencesVon Neumann regular rings, introduced in 1936, form a cornerstone of abstract algebra and were later extended to weakly regular rings. This work considers another extension, the W-regular rings defined by Wei [6], and explores their properties and ...
Hazim Tallat Hazim
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AL-Rafidain Journal of Computer Sciences and Mathematics, 2007 Raida Mahmood, Abdullah Abdul-Jabbar
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weakly $(m,n)$-closed ideals and $(m,n)$-von Neumann regular rings [PDF]
, 2018 Let R be a commutative ring with identity.
Anderson, David F. +2 more
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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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On n-Weakly Regular Rings [PDF]
AL-Rafidain Journal of Computer Sciences and Mathematics, 2012 Raida Mahammod, Mohammed Al-Neimi
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On Weakly Fπ-Regular and Weakly wFπ-Regular Rings
Asia Pacific Journal of MathematicsFarahat Aly +2 more
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