Results 111 to 120 of about 6,218,340 (134)

Modules Whose Endomorphism Rings are Von Neumann Regular

Communications in Algebra, 2013
Abelian groups whose endomorphism rings are von Neumann regular have been extensively investigated in the literature. In this paper, we study modules whose endomorphism rings are von Neumann regular, which we call endoregular modules. We provide characterizations of endoregular modules and investigate their properties.
Gangyong Lee, S. Tariq Rizvi, Cosmin Roman   +2 more
exaly   +4 more sources

Module-theoretic generalization of commutative von Neumann regular rings

Communications in Algebra, 2019
Jayaram and Tekir defined an R-module M, R is a commutative ring, to be “von Neumann regular” if for each m∈M, there exists an a∈R such that Rm=aM=a2M.
D. D. Anderson, Sangmin Chun, J. R. Juett   +2 more
exaly   +4 more sources

On ϕ-P-flat modules and ϕ-von Neumann regular rings

Journal of Algebra and Its Applications, 2023
Let [Formula: see text] be a commutative ring with a nonzero identity and [Formula: see text] an [Formula: see text]-module. Set [Formula: see text], if [Formula: see text]-[Formula: see text] then [Formula: see text] is called a [Formula: see text]-torsion module.
Mahdou, Najib, Oubouhou, El Houssaine
openaire   +3 more sources

Spectrum of a locally cyclic module over a commutative von neumann regular ring

Communications in Algebra, 1981
Annie Vogel
exaly   +4 more sources

Symplectic Modules and von Neumann Regular Matrices over Commutative Rings

, 2010
A criterion is given for the existence of a symplectic structure on a finitely generated projective module P over a commutative ring R. If P⨁Q = R n , P admits a symplectic structure iff Q = ker(A) for some von Neumann regular alternating matrix A ∈ M n (R). Every n-generated symplectic space over R arises in this way. In supplement to this, it is also
T. Y. Lam, R. G. Swan
openaire   +2 more sources

ON VON NEUMANN REGULAR MODULES

Advances in Mathematics: Scientific Journal, 2020
G. N. Sudharshana, D. Siva Kumar
openaire   +2 more sources

A Study of Non-Commutative Von-Neumann Regular Rings

Journal of Information and Optimization Sciences, 2021
In this paper, we study the Von-Neumann regular elements of non-commutative rings M-2(Z(2)) and M-2(Z(3)). We prove that M-2(Z(2)) and M-3(Z(3)) are Von-Neumann rings. We also give code in C++ to compute Von-Neumann regular elements of M-2(Z(n))
Deeba Afzal, Farkhanda Afzal, Murat Cancan   +2 more
exaly   +2 more sources

Combining Local and Von Neumann Regular Rings

Communications in Algebra, 2004
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if a or 1 - a has a Von Neumann inverse whenever a ∈ R. Sample results: Every prime ideal of a VNL-ring is contained in a unique maximal ideal.
Emad Abu Osba, Osama Alkam, Melvin Henriksen   +2 more
exaly   +2 more sources

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Characterizing von Neumann Regular Rings in Reverse Mathematics

Notre Dame Journal of Formal Logic, 2021
Huishan Wu
exaly  

Von Neumann regular matrices revisited

Linear and Multilinear Algebra, 2023
Septimiu Crivei, Iulia Chiru
exaly