Results 41 to 50 of about 369 (132)
K-Theoretically Simple Von Neumann Regular Rings
Journal of Algebra, 1995 The authors investigate the differences between simplicity of a von Neumann regular ring and simplicity of its ordered Grothendieck group \(K_0\). After giving preliminaries in \S 1, they derive properties of pseudo-rank functions on ideals in a regular ring. In \S 3 they prove that if \(R\) is a stably finite, \(K_0\)-simple, non-Artinian regular ring
Ara, P. +3 more
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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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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 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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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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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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Photonic elementary cellular automata for simulation of complex phenomena. [PDF]
Light Sci Appl, 2023 Li GHY +3 more
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Neuromorphic Photonics Circuits: Contemporary Review. [PDF]
Nanomaterials (Basel), 2023 Kutluyarov RV +4 more
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In-situ electro-responsive through-space coupling enabling foldamers as volatile memory elements. [PDF]
Nat Commun, 2023 Li J +5 more
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On the torsion graph and von Neumann regular rings
Filomat, 2012 Let R be a commutative ring with identity and M be a unitary R-module. A torsion graph of M, denoted by ?(M), is a graph whose vertices are the non-zero torsion elements of M, and two distinct vertices x and y are adjacent if and only if [x : M][y : M]M = 0.
Malakooti Rad +2 more
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