Results 21 to 30 of about 5,838,381 (260)
On spectral compactness of von Neumann regular rings [PDF]
, 2012 Summary: We characterize the spectral compactness of commutative von Neumann regular rings. We show that through a process of adjunction of identity, we can obtain the Alexandroff compactification or a star compactification of the prime spectrum of certain von Neumann regular rings.
RUBIO, IBETH MARCELA, ACOSTA, LORENZO
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On Von Neumann Regular Rings With Weak Comparability
Journal of Algebra, 2003 The author studies von Neumann regular rings with weak comparability, and obtains several interesting results. Among them he shows that the strict cancellation property and the strict unperforation property hold for the family of directly finite finitely generated projective modules over these rings.
Mamoru Kutami
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On Generalized Regular Local Ring [PDF]
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
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Some Results on W-regular Rings [PDF]
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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K1 of noncommutative von Neumann regular rings
Journal of Pure and Applied Algebra, 1976 AbstractIf R is any (noncommutative, von Neumann) regular ring with 2 invertible, then K1 of the free (noncommuting) R-algebra on a set X is canonically isomorphic to K1(R). If R is unit-regular, then K1(R) is just the abelianization of the group of units of R. Some examples are computed.
Handelman, David
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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
Giuseppe Baccella
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A Generalization of Von Neumann Regular Rings [PDF]
AL-Rafidain Journal of Computer Sciences and Mathematics, 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 Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
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Invariance and parallel sums [PDF]
Bulletin of Mathematical Sciences, 2020 In this paper, the notions of invariance and parallel sums as defined by Anderson and Duffin for matrices [Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969) 576–594] are generalized to von Neumann regular rings.
Adel Alahmadi, S. K. Jain, André Leroy
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VNR rings, $\Pi$-regular rings and annihilators [PDF]
, 1974 summary:Von Neumann regular rings, hereditary rings, semi-simple Artinian rings, self-injective regular rings are characterized. Rings which are either strongly regular or semi-simple Artinian are considered.
Yue Chi Ming, Roger +3 more
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