Results 241 to 250 of about 1,236 (261)

On von Neumann regular elements in f-rings

Algebra universalis, 2017
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Azouzi, Youssef, Ben Amor, Mohamed Amine
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Quadratic form theory over preordered von Neumann-regular rings [PDF]

Journal of Algebra, 2008
To each pair, 〈R,T〉, consisting of a unitary commutative von Neumann-regular ring, R, where 2 is a unit and T is a preorder on R, we associate a reduced special group, GT(R), which faithfully reflects quadratic form theory, modulo T, over free R-modules ...
F Miraglia
exaly   +2 more sources

Line graphs associated to Von Neumann regular graphs of rings

Discrete Mathematics, Algorithms and Applications, 2023
Let [Formula: see text] be a commutative ring with unity. Taloukolaei and Sahebi [Von Neumann regular graphs associated with rings, Discrete Math. Algorithms Appl. 10(3) (2018) 1850029, doi:10.1142/S1793830918500295] introduced the Von Neumann regular graph [Formula: see text] of a ring [Formula: see text] whose vertices are the elements of [Formula ...
Laithun Boro, Madan Mohan Singh
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Multipliers of von neumann regular rings

Communications in Algebra, 2000
We analyse the structure of the multiplier ring M(R) of a(nonuni-tal)Von Neumann regular ring R. We show that M(R) is not regular in general, but every principal right ideal is generated by two idempotents. This, together with Riesz Decomposition on idempotents of M(R), furnishes a description of the monoid V(M(R)) of Murray-Von Neumann equivalence ...
Pere Ara, Francesc Perera
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Von Neumann Regular Rings Satisfying Weak Comparability

Applied Categorical Structures, 2007
For modules \(X\) and \(Y\) over a ring \(R\), write \(X\lesssim Y\) (resp. \(X\prec Y\)) in case \(X\) is isomorphic to a submodule (resp. proper submodule) of \(Y\). A regular ring \(R\) `satisfies weak comparability' if for each nonzero \(x\in R\) there is a positive integer \(n=n(x)\) such that \(n(yR)\lesssim R\) implies \(yR\lesssim xR\) for all \
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On 2-von Neumann Regular Rings

Communications in Algebra, 2005
In this article, we consider 2-von Neumann regular rings, that is, rings R with the property that, if F 2 → F 1 → F 0 → E → 0 is an exact sequence of R-modules with F 0, F 1, and F 2 finitely generated free modules, then the module E is projective. For each positive integer m, as well as for m = ∞, we exhibit a class of 2-von Neumann regular rings with
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Generalizations of von Neumann regular rings and n-like rings

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1988
The authors give a noncommutative generalization of n-von Neumann regular rings. Also they consider the structure of rings satisfying the identity \((X_ 1-X^ n_ 1)...(X_ m-X_ m^ n)=0\), where m and n are natural numbers with \(n>1\).
Yasuyuki, Hirano, Takashi, Suenaga
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Von Neumann's Manuscript on Inductive Limits of Regular Rings

Canadian Journal of Mathematics, 1968
It is now known (3) that if is a regular rank ring, then the rank function can be extended to the matrix ring in such a way that R(a) = R(a ꕕ n) ; here, a is an arbitrary element of is the n × n diagonal matrix with a for each entry on the diagonal, and R denotes rank in and also in .
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von Neumann regular modules

Communications in Algebra, 2018
Unsal Tekir, C Jayaram
exaly  

Module-theoretic generalization of commutative von Neumann regular rings

Communications in Algebra, 2019
Sangmin Chun, D D Anderson
exaly