Results 11 to 20 of about 5,838,381 (260)
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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Classification of Boolean algebras through von Neumann regular $\mathcal{C}^{\infty}-$rings [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper, we introduce the concept of a ``von Neumann regular $\mathcal{C}^{\infty}$-ring", which is a model for a specific equational theory.
Jean Berni, Hugo Mariano
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On Von Neumann Regular Rings [PDF]
Canadian Mathematical Bulletin, 1974 Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there ...
Kwangil Koh
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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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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 $R$.
Pere Ara
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
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The Ring of Polynomial Over a Von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1973 It is shown that the ring of polynomials in one indeterminate over a commutative von Neumann regular ring with identity element is semihereditary.
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On φ-Von Neumann Regular Rings [PDF]
Journal of the Korean Mathematical Society, 2013 Let R be a commutative ring with and let = {R|R is a commutative ring and Nil(R) is a divided prime ideal}. If , then R is called a -ring. In this paper, we introduce the concepts of -torsion modules, -flat modules, and -von Neumann regular rings.
Fanggui Wang
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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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