Results 11 to 20 of about 6,227,953 (258)
GENERALIZATION OF VON-NEUMANN REGULAR RINGS TO VON-NEUMANN REGULAR MODULES [PDF]
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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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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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.
P. J. McCarthy
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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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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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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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K 1 of a Commutative von Neumann Regular Ring [PDF]
Proceedings of the American Mathematical Society, 1972 Let A be a commutative regular ring (in the sense of von Neumann), and let q be an ideal in A . Then
Leslie G. Roberts
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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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K1 of noncommutative von Neumann regular rings
Journal of Pure and Applied Algebra, 1976 AbstractIf R is any (noncommutative, von Neumann) regular ring with 2 invertible, then K1 of the free (noncommuting) R-algebra on a set X is canonically isomorphic to K1(R). If R is unit-regular, then K1(R) is just the abelianization of the group of units of R. Some examples are computed.
Handelman, David
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On Generalized Regular Local Ring [PDF]
Science Journal of University of Zakho, 2015 A ring R is called a generalized Von Neumann regular local ring (GVNL-ring) if for any a∈R, either a or (1-a) is π-regular element. In this paper, we give some characterization and properties of generalized regular local rings.
Zubayda M. Ibraheem, Naeema A. Shereef
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