Results 11 to 20 of about 5,588,991 (291)

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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von Neumann regular modules [PDF]

Communications in Algebra, 2017
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules.
C. Jayaram, Ünsal Tekir
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Classification of Boolean algebras through von Neumann regular $\mathcal{C}^{\infty}-$rings [PDF]

Categories and General Algebraic Structures with Applications
In 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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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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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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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 regular graphs associated with rings

Discrete Mathematics, Algorithms and Applications, 2018
Let [Formula: see text] be a ring with nonzero identity. By the Von Neumann regular graph of [Formula: see text], we mean the graph that its vertices are all elements of [Formula: see text] such that there is an edge between vertices [Formula: see text] if and only if [Formula: see text] is a Von Neumann regular element of [Formula: see text], denoted
Ali Jafari Taloukolaei, Shervin Sahebi
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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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Chromatic Number and some Properties of Pseudo-Von Neumann Regular graph of Cartesian Product of Rings

Tikrit Journal of Pure Science, 2020
Let R be a commutative ring, the Pseudo – Von Neumann  regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if , this graph is denoted by P-VG(R ...
Nermen J. Khalel, Nabeel E. Arif
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On Strongly 𝝅-regular Modules

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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