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

Communications in Algebra, 1981
exaly   +2 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
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Von Neumann Regular Cellular Automata

Lecture Notes in Computer Science, 2017
Part 2: Regular PapersInternational audienceFor any group G and any set A, a cellular automaton (CA) is a transformation of the configuration space $$A^G$$ defined via a finite memory set and a local function.
Alonso Castillo-Ramírez, Maximilien Gadouleau   +1 more
exaly   +2 more sources

ON VON NEUMANN REGULAR MODULES

Advances in Mathematics: Scientific Journal, 2020
G. N. Sudharshana, D. Siva Kumar
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Canonical Forms for Reachable Systems over Von Neumann Regular Rings

Mathematics, 2022
Andres Sáez-Schwedt
exaly  

Characterizing von Neumann Regular Rings in Reverse Mathematics

Notre Dame Journal of Formal Logic, 2021
exaly  

von Neumann regular modules

Communications in Algebra, 2018
Unsal Tekir, C Jayaram
exaly  

Generalizations of von Neumann regular rings, PP rings, and Baer rings

Frontiers of Mathematics in China, 2016
Lixin Mao
exaly