Results 41 to 50 of about 5,685,512 (162)
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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Leavitt path algebras are graded von Neumann regular rings
, 2014 In sharp contrast to the Abrams–Rangaswamy theorem that the only von Neumann regular Leavitt path algebras are exactly those associated to acyclic graphs, here we prove that the Leavitt path algebra of any arbitrary graph is a graded von Neumann regular ...
Hazrat, Roozbeh (R16959)
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On Generalized Regular Local Ring
Science Journal of University of Zakho, 2015 A ring R is called a generalized Von Neumann regular local ring (GVNL-ring) if for any a∈R, either a or (1-a) is π-regular element. In this paper, we give some characterization and properties of generalized regular local rings.
Zubayda M. Ibraheem, Naeema A. Shereef
doaj
On countable von Neumann regular rings [PDF]
Czechoslovak Mathematical Journal, 1991 We study properties of countable von Neumann regular rings. Finite regular rings have simple homological properties since they are completely reducible (i.e., finite direct sums of full matrix rings over division rings). The same is far from being true of the countable ones. There are various examples of non-completely reducible countable regular rings,
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von Neumann regular modules [PDF]
, 2018 In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules. Further, we investigate the relations between von Neumann regular modules and other classical modules.
TEKİR, ÜNSAL
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Graded von Neumann regularity of rings graded by semigroups [PDF]
, 2022 In this article, we give a complete characterization of semigroup graded rings which are graded von Neumann regular. We also demonstrate our results by applying them to several classes of examples, including matrix rings and groupoid graded rings.Comment:
Lännström, Daniel +3 more
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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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On von Neumann regular rings with an automorphism
Journal of Algebra, 2007 Difference fields enjoy a nice model theory; for instance, their existentially closed models get an elegant axiomatization through ACFA and provide a typical example of structures with a simple theory. Furthermore every difference ring of sequences \(F^{\mathbb Z}\) for \(F\) a finite field, with the shift automorphism \(\sigma_t ((c_i)_{i \in {\mathbb
Hrushovski, Ehud, Point, Françoise
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Cyclic accessibility of reachable states characterizes von Neumann regular rings [PDF]
, 2010 The class of commutative von Neumann regular rings is characterized by a generalization of the feedback cyclization property to non-necessarily reachable systems: for any system (A,B), there exist a matrix K and a vector u such that (A,B) and the single ...
Sáez-Schwedt, A.
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Ext and von Neumann regular rings [PDF]
Czechoslovak Mathematical Journal, 1985 A ring R is called a left T-ring if \(Ext_ R(M,N)\neq 0\) for each non- projective module M and each non-injective module N. In the paper, the following results are proved: 1) Let R be a von Neumann regular ring. If R is a T-ring, then each left ideal of R is countably generated. 2) Let R be a simple countable regular ring.
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