Results 1 to 10 of about 2,555 (162)
Von Neumann Regular McCoy Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2021 A ring R is said to be right McCoy, if for every f(x),g(x) in the polynomial ring R[x], with f(x)g(x)=0 there exists a nonzero element cϵR with f(x)c=0. In this note, we show that von Neumann regular McCoy rings are abelian. This gives a positive
Masoome Zahiri
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GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES
Barekeng, 2023 An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is called vN (von-Neumann)-regular ring if every element is regular. Recall that for any ring R always can be considered as module over itself.
Hubbi Muhammad, Sri Wahyuni
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Canonical Forms for Reachable Systems over Von Neumann Regular Rings
Mathematics, 2022 If (A,B) is a reachable linear system over a commutative von Neumann regular ring R, a finite collection of idempotent elements is defined, constituting a complete set of invariants for the feedback equivalence.
Andrés Sáez-Schwedt
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Solutions of minus partial ordering equations over von Neumann regular rings
Open Mathematics, 2015 In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented.
Guan Yu, Tong Zhaojia
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THE REALIZATION PROBLEM FOR VON NEUMANN REGULAR RINGS [PDF]
Ring Theory 2007, 2008 We survey recent progress on the realization problem for von Neumann regular rings, which asks whether every countable conical refinement monoid can be realized as the monoid of isoclasses of finitely generated projective right $R$-modules over a von Neumann regular ring $R$.
Père Ara
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Conformity and Mass Media Influence in the Sznajd Model on Regular Lattices [PDF]
EntropyThe polarization of opinions and difficulties in reaching a consensus are central problems of many modern societies. Understanding the dynamics governing those processes is, therefore, one of the main aims of sociophysics.
Maciej Wołoszyn
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Some Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
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The Krein-von Neumann extension of a regular even order quasi-differential operator [PDF]
Opuscula Mathematica, 2021 We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type.
Minsung Cho +3 more
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Invariance and parallel sums [PDF]
Bulletin of Mathematical Sciences, 2020 In this paper, the notions of invariance and parallel sums as defined by Anderson and Duffin for matrices [Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969) 576–594] are generalized to von Neumann regular rings.
Adel Alahmadi, S. K. Jain, André Leroy
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On (m, n)-semiprime submodules [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n â N.
Ayten Pekin +2 more
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