Results 21 to 30 of about 6,050,199 (263)
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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Solutions of minus partial ordering equations over von Neumann regular rings
Open Mathematics, 2015 In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented.
Guan Yu, Tong Zhaojia
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A characterization of von Neumann regular rings and applications [PDF]
Linear Algebra and its Applications, 2010 For an \(n\times m\) matrix \(A=(a_{ij})\) and an \(m\times l\) matrix \(B=(b_{ij})\) over the same ring \(R\), we say that the pair of matrices \((A,B)\) has simple 0-multiplication if \(a_{ik}b_{kj}=0\) for all \(1\leq i\leq n\), \(1\leq k\leq m\) and \(1\leq j\leq l\).
Lee, Tsiu-Kwen, Zhou, Yiqiang
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K1 of noncommutative von Neumann regular rings [PDF]
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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K-Theoretically Simple Von Neumann Regular Rings [PDF]
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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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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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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Stable range conditions for abelian and duo rings
Математичні Студії, 2022 The article deals with the following question: when does the classical ring of quotients of a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are there idempotents in $R$?
A. A. Dmytruk +2 more
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
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