Results 11 to 20 of about 5,685,512 (162)
On Von Neumann Regular Rings [PDF]
Canadian Mathematical Bulletin, 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 that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there ...
Kwangil Koh
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Classification of Boolean algebras through von Neumann regular $\mathcal{C}^{\infty}-$rings [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we introduce the concept of a ``von Neumann regular $\mathcal{C}^{\infty}$-ring", which is a model for a specific equational theory.
Jean Berni, Hugo Mariano
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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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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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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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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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Semiartinian V-Rings and Semiartinian Von Neumann Regular Rings
Journal of Algebra, 1995 A ring \(R\) is called a right \(SV\)-ring if \(R\) is a right semiartinian ring (i.e. every nonzero right module has nonzero socle) and a right \(V\)- ring (i.e. every simple right module is injective). The paper under review presents an extensive investigation on the class of right \(SV\)- rings, which in fact form a special class of von Neumann ...
Baccella, G.
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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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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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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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