Results 21 to 30 of about 5,951,272 (130)
The sum-product splitting property and injective direct sums of modules over von Neumann regular rings [PDF]
Proceedings of the American Mathematical Society, 1981 ABsmsAcr. Let (Mi)ie be a family of modules over a von Neumann regular ring. It is shown that for the splitness of the canonical inclusion ffl IMi c iEEIM it is necessary and sufficient that there be a finite subset F' of I such that the restricted sum DiE\,{M is semisimple with finitely many homogeneous components, all simple summands being finite ...
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A characterization of von Neumann regular rings and applications [PDF]
, 2010 A new characterization of von Neumann regular rings is obtained, in terms of simple 0-multiplication of matrices, and is used to establish the natural connections between von Neumann regular rings and feebly Baer modules and ...
Zhou, Yiqiang +3 more
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On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution [PDF]
, 2011 This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory (ergodic theory). In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in ...
Werndl, Charlotte +3 more
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A Generalization of Von Neumann Regular Rings [PDF]
, 2009 In this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular ...
Adil Jabbar
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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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(Never) Mind your p's and q's: Von Neumann versus Jordan on the Foundations of Quantum Theory [PDF]
, 2012 In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von Neumann (1927a) published the modern Hilbert space ...
Duncan, Anthony +5 more
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On ȷ-flat modules and ȷ-von Neumann regular rings
FilomatLet R be a commutative ring with a non-zero identity and ? be an ideal R. In this paper, we introduce and investigate the concepts of ?-torsion modules, ?-torsion free modules, ?-flat modules and ?-von Neumann regular rings. Many examples, characterizations, and properties of these notions are given.
Adam Anebri, Najib Mahdou, El Oubouhou
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, 1974 Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove ...
Kwangil Koh
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Normal Subgroups of Classical Groups over von Neumann Regular Rings [PDF]
, 1994 Let R be a von Neumann regular ring. We obtain a complete description of all subgroups of the pseudo-orthogonal groups O2nR for n ≥ 3 which are normalized by elementary orthogonal matrices.
Vaserstein, L.N. +5 more
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Weakly (m,n)-semiprime submodules [PDF]
Electronic Journal of Mathematics, 2023 Mohammed Issoual
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