Results 61 to 70 of about 5,685,512 (162)
Prime von Neumann regular rings and primitive group algebras
, 1974 Kaplansky posed the following question: Are prime von Neumann regular rings primitive? We show that with a certain countability condition the answer is affirmative.
Joe W. Fisher, Robert L. Snider
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The Telescope Conjecture for von Neumann regular rings
International Electronic Journal of AlgebraIn this note, we show that any epimorphism originating at a von Neumann regular ring (not necessary commutative) is a universal localization. As an application, we prove that the Telescope Conjecture holds for the unbounded derived categories of von Neumann regular rings (not necessary commutative).
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Von Neumann Regularity of V-Rings with Artinian Primitive Factor Rings [PDF]
Proceedings of the American Mathematical Society, 1988 Let R R be a ring whose right primitive factor rings are artinian. It is a known result that if
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Zero-divisor graphs, von Neumann regular rings, and Boolean algebras [PDF]
, 2003 For a commutative ring R with set of zero-divisors Z(R), the zero-divisor graph of R is Γ(R)=Z(R)−{0}, with distinct vertices x and y adjacent if and only if xy=0.
Shapiro, Jay +2 more
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On the von Neumann regularity of rings with regular prime factor rings [PDF]
Pacific Journal of Mathematics, 1974 Fisher, Joe W., Snider, Robert L.
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On $p$-injectivity, YJ-injectivity and quasi-Frobeniusean rings [PDF]
, 2002 summary:A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective.
Yue Chi Ming, Roger
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Analysis of Kernel Matrices via the von Neumann Entropy and Its Relation to RVM Performances. [PDF]
Entropy (Basel), 2023 Belanche-Muñoz LA, Wiejacha M.
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On commutative von Neumann regular rings and a question of Handelman [PDF]
, 1995 The main purpose of this note is to answer a question of Handelman on right self-injective, directly finite, von Neumann regular rings. He asked if such a ring R is determined up to isomorphism by the Boolean space Spec B (R), where B(R) is the boolean ...
Burgess, W.D., Raphael, R.M.
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Commutative group rings with von Neumann regular total rings of quotients
Journal of Algebra, 2013 Let \(RG\) be the group ring of an Abelian group \(G\) over a commutative ring \(R\) with identity and \(Q(R)\) be the total ring of quotients of \(R\). A ring \(R\) is said to be uniquely divisible by the order of every element of \(G\) if for every \(g\) in \(G\) of finite order \(n\), \(n\) divides every element \(r\in R\), and if \(r=ns=nt\) for ...
Schwarz, Ryan, Glaz, Sarah
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, 2002 The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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