Results 31 to 40 of about 14,896 (264)
Strongly regular near-rings [PDF]
Proceedings of the Edinburgh Mathematical Society, 1980 A strongly regular ring R is one in which for all x ∈ R, there is an a ∈ R with x = x2a. Equivalently, for all x there is an a with x = ax2. Such a ring is regular, duo, biregular, and a left and right V-ring. Moreover since R is reduced, all nilpotent elements are central (vacuously) and so all idempotent elements are central.
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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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Strongly regular elements of noetherian rings
Journal of Algebra, 1984 Let R be a right Noetherian ring. As usual, for any ideal I of \(R,\) C'(I)\(=\{c\in R:\) \(r\in R\), cr\(\in I\) implies \(r\in I\}\), \('C(I)=\{c\in R:\) \(r\in R\), rc\(\in I\) implies \(r\in I\}\) and \(C(I)=C'(I)\cap 'C(I)\). In this paper interest centres on \(S'(0)=\cap \quad C'(I)\) where the intersection is taken over all right annihilator ...
Goldie, Alfred, Krause, Günter
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مجلة ابحاث كلية التربية الاساسيةIn our study we examine definition of strongly γ -regular rings and associates, investigate interplay between strongly γ - regular rings and other reduced rings. We also study GP – injective modules, and discuss its relation with strongly
Luma Ahmed Khaleel, Beyda S. Abdullah
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Fully idempotent near-rings and sheaf representations
International Journal of Mathematics and Mathematical Sciences, 1998 Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings.
Javed Ahsan, Gordon Mason
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Examples of strongly π-regular rings
Journal of Pure and Applied Algebra, 2004 The authors call a ring locally finite if every finite subset in it generates a finite semigroup multiplicatively. The structures of this kind of rings and the relations of these rings and other related rings are studied.
Huh, Chan, Kyun Kim, Nam, Lee, Yang
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On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
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Journal of Algebra, 1991 Let A be a d-dimensional regular local ring with maximal ideal \({\mathfrak m}\), and let \(\lambda\) be an element of \({\mathfrak m}\), \(\lambda\not\in {\mathfrak m}^ 2\). The question addressed in this paper is whether the ring \(A[\lambda^{-1}]\) is super-regular, in the sense that all its maximal ideals can be generated by d-1 elements.
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International Journal of Mathematics and Mathematical Sciences, 2011 We introduce in this paper the concept of left 𝑊𝑀𝐶2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left 𝐻𝐼 rings can be extended to left 𝑊𝑀𝐶2 rings.
Junchao Wei
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On Simple Singular N-Flat Modules [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 Let I be a right ideal of a ring R , then R/I is right N-flat module if and only if for each , there exists and a positive integer n such that and .In this paper, we first introduce and characterize rings whose every simple singular right R-module is ...
Raida Mahmood, Dina Hadid
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