Results 31 to 40 of about 394,267 (278)
Trivial Extension of π-Regular Rings [PDF]
Engineering and Technology Journal, 2016 In this paper we investigate if it is possible that the trivial extension ring T(R,R) inherit the properties of the ring R and present the relationship between the trivial extension T(R,M) of a ring R by an R-module M and theπ-regularity of Rby taking ...
Areej M. Abduldaim
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Morphic rings and unit regular rings
Journal of Pure and Applied Algebra, 2007 A ring \(R\) is called left morphic if \(R/Ra\simeq\mathbf l(a)\) for every \(a\in R\). A left and right morphic ring is called a morphic ring. If \(\mathbb{M}_n(R)\) is morphic for all \(n\geq 1\) then \(R\) is called a strongly morphic ring. A well-known result of Erlich says that a ring \(R\) is unit regular iff it is both (von Neumann) regular and ...
Lee, T. K., Zhou, Y.
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International Journal of Mathematics and Mathematical Sciences, 2002 Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
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The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements [PDF]
Neutrosophic Sets and Systems, 2023 This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to
Murhaf Riad Alabdullah
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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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Proceedings of the American Mathematical Society, 1957 Let G be a multiplicative group, K a commutative ring with unit, and K(G) the group ring of G with respect to K. We say that K(G) is regular if given an x in K(G), there is a y in K(G) such that xyx = x. Using a homological characterization of regular rings which was found independently by M.
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The Prime Spectra of Regular Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2007 In this work, we study the prime spectrum of regular rings. Also we study some topological concepts as quasi-compact, compact, totally disconnected, and irreducible topological space in order to prove some new results on the prime spectrum of regular ...
Nazar Shuker +2 more
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Vertex rings and their Pierce bundles
, 2017 In part I we introduce vertex rings, which bear the same relation to vertex algebras (or VOAs) as commutative, associative rings do to commutative, associative algebras over the complex numbers.
Mason, Geoffrey
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On Almost WJCP-Injective Rings [PDF]
مجلة التربية والعلم, 2019 Let R be a ring. The ring is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal of such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper ...
Shaima Ahmed, Raed Mahmoud
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Integrally closed rings in birational extensions of two-dimensional regular local rings
, 2012 Let $D$ be an integrally closed local Noetherian domain of Krull dimension 2, and let $f$ be a nonzero element of $D$ such that $fD$ has prime radical. We consider when an integrally closed ring $H$ between $D$ and $D_f$ is determined locally by finitely
Olberding, Bruce, Tartarone, Francesca
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