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Examples of strongly π-regular rings [PDF]
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.
Yang Lee, Chan Huh
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On Strongly – Regular Rings [PDF]
مجلة التربية والعلم, 2009 The main goal of the work is to study a strongly -regular rings, which was introduce by Mohammad A. J. and Salih. S. M. in (2006). That is, a ring R is said to be strongly -regular if for every a R there exists bR and a positive integer n≠1 such ...
Baida S. Abdullah
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On Strongly pi-Regular Rings with Involution
Communications in Mathematics, 2022 Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of the notion of a strongly pi-star-regular ring, which is the star-version of strongly pi-regular rings and which was ...
Cui, Jian, Danchev, Peter
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EXTENSIONS OF STRONGLY π-REGULAR RINGS [PDF]
Bulletin of the Korean Mathematical Society, 2014 An ideal I of a ring R is strongly π-regular if for any x ∈ I there exist n ∈ N and y ∈ I such that x = xy. We prove that every strongly π-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any x ∈ I there exist two distinct m,n ∈ N such that x = x. Furthermore, we prove that an ideal I of a ring R is periodic if and only if
Huanyin Chen
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Equimultiplicity Theory of Strongly F-Regular Rings [PDF]
Michigan Mathematical Journal, 2021 17 ...
Polstra, Thomas, Smirnov, Ilya
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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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Some Properties of Strongly Principally Self-Injective Modules [PDF]
Journal of Applied Sciences and Nanotechnology, 2022 The idea of generalizing quasi injective by employing a new term is introduced in this paper. The introduction of principally self-injective modules, which are principally self-injective modules.
Khalid Munshid +2 more
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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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Strongly Semiunits and Tri-Regular Elements in Rings [PDF]
Eurasian Journal of Science and Engineering, 2018 In this paper we study semiunit elements in the group ring Z2G, where G is a cyclic group and we introduce and discuss strongly semiunit elements in Zn, for n=p, 2p, p2 where p is an odd prime.
Parween Ali Hummadi , Suham Hamad Awla
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PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS
Barekeng, 2023 Let be a commutative ring with identity. Two elements and b in are called to be associates if and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
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