Results 11 to 20 of about 16,929 (257)
K1 of Von Neumann regular rings [PDF]
Journal of Pure and Applied Algebra, 1984 For certain rings and \(C^*\)-algebras R, the group \(K_ 1(R)\) is shown to equal the abelianization of the unit group U(R). For instance, this is proved for every \(C^*\)-algebra with unitary 1-stable range, for every \(AW^*\)-algebra, and for every unit-regular ring in which 2 is invertible.
Menal, Pere, Moncasi, Jaume
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On Rings Whose Simple Singular R-Modules Are Flat, I [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 In this paper we investigate von Neumann regularity of rings whose simple singular right R-modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime right quasi-duo ring whose simple singular right R-modules are ...
Raida Mahmood, Abdullah Abdul-Jabbar
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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 ...
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On Completely YJ-injective Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 A ring R is called completely right YJ-injective (briefly, right CYJ injective ) if every homomorphic image of R is right YJ-injective. In this paper, we study completely right YJ-injective rings and their connection with Von Neumann regular rings.
Raida Mahammod, Husam Mohammad
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Tikrit Journal of Pure Science, 2020 Let R be a commutative ring, the Pseudo – Von Neumann regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if , this graph is denoted by P-VG(R ...
Nermen J. Khalel, Nabeel E. Arif
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Stable range conditions for abelian and duo rings
Математичні Студії, 2022 The article deals with the following question: when does the classical ring of quotients of a duo ring exist and idempotents in the classical ring of quotients $Q_{Cl} (R)$ are there idempotents in $R$?
A. A. Dmytruk +2 more
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The generating hypothesis in the derived category of a ring [PDF]
, 2006 We show that a strong form (the fully faithful version) of the generating hypothesis, introduced by Freyd in algebraic topology, holds in the derived category of a ring R if and only if R is von Neumann regular. This extends results of the second author.
Hovey, Mark +2 more
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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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Journal of Mathematics, 2023 Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
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On n-flat modules and n-Von Neumann regular rings
International Journal of Mathematics and Mathematical Sciences, 2006 We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
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