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On von Neumann regular rings. V

On von Neumann regular rings. V
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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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Characterizing von Neumann Regular Rings in Reverse Mathematics

Notre Dame Journal of Formal Logic, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huishan Wu
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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
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The Moore–Penrose Inverse of Von Neumann Regular Matrices Over a Ring [PDF]

Linear Algebra and Its Applications, 2001
Necessary and sufficient conditions are given in order that a von Neumann regular matrix over an arbitrary ring and some factorizations are Moore-Penrose invertible.Fundação para a Ciência e a Tecnologia (FCT)
Pedro Patricio
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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
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von Neumann regular modules [PDF]

Communications in Algebra, 2018
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neumann regular modules. Further, we investigate the relations between von Neumann regular modules and other classical modules.
Unsal Tekir, C Jayaram
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On von neumann regular rings

Communications in Algebra, 2000
(2000). On von neumann regular rings. Communications in Algebra: Vol. 28, No. 2, pp. 791-801.
Chan Yong Hong, Jin Yong Kim, Nam Kyun Kim   +2 more
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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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Some remarks on von Neumann regular rings

Kobe Journal of Mathematics, 1992
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Jule, Zhang, Xianneng, Du
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