Results 11 to 20 of about 31,979 (265)
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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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 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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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
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On Generalized Simple Singular AP-Injective Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings.
Raida Mahmood, Husam Mohammad
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New characterizations of Von Neumann regular rings and a conjecture of Shamsuddin [PDF]
, 1996 A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has nonzero annihilator, then R modulo the Jacobson radical J is a finite product of simple rings and is a Von Neuman regular ring. We prove two theorems and
Faith, Carl
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Smashing localizations of rings of weak global dimension at most one [PDF]
, 2016 none2siWe show for a ring R of weak global dimension at most one that there is a bijection between the smashing subcategories of its derived category and the equivalence classes of homological epimorphisms starting in R. If, moreover, R is commutative,
Bazzoni, Silvana, Stovicek, Jan
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K1 of Von Neumann regular rings
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 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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