Results 11 to 20 of about 1,236 (261)
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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The ring of polynomial over a von Neumann regular ring [PDF]
Proceedings of the American Mathematical Society, 1973 It is shown that the ring of polynomials in one indeterminate over a commutative von Neumann regular ring with identity element is semihereditary.
P. J. McCarthy
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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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K 1 of a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1972 Let A be a commutative regular ring (in the sense of von Neumann), and let q be an ideal in A . Then
Leslie G. Roberts
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On Strongly 𝝅-regular Modules [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
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Polynomial Rings Over a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1975 It is shown that the annihilator of each finitely generated ideal of R [ {
Robert Gilmer
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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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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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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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