Results 11 to 20 of about 1,169,182 (223)
Centrally Extended -Homoderivations on Prime and Semiprime Rings
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 We present a new type of mappings called centrally extended α -homoderivations of a ring ℜ
Mahmoud M. El-Soufi, A. Ghareeb
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Centralizing Mappings of Semiprime Rings [PDF]
Canadian Mathematical Bulletin, 1987 AbstractLet R be a ring with center Z, and S a nonempty subset of R. A mapping F from R to R is called centralizing on S if [x, F(x)] ∊ Z for all x ∊ S. We show that a semiprime ring R must have a nontrivial central ideal if it admits an appropriate endomorphism or derivation which is centralizing on some nontrivial one-sided ideal.
Howard E. Bell, Wallace S. Martindale
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Generalized Jordan derivations on semiprime rings [PDF]
Journal of the Australian Mathematical Society, 2020 The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Bruno Leonardo Macedo Ferreira
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Regular Elements in Semiprime Rings [PDF]
Proceedings of the American Mathematical Society, 1968 In the proof of Goldie's theorem [1, Theorem 4.1], one of the crucial steps is to establish that every large right ideal contains a regular element [1, Theorem 3.9]. Recently, S. A. Amitsur told one of the authors he had proved, using the weaker conditions of the ACC on left and right annihilators, that every prime ring contains a left regular element ...
R. E. Johnson, L. S. Levy
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A note on multiplicative (generalized)-skew derivation on semiprime rings
Journal of Taibah University for Science, 2018 In this article, we study multiplicative (generalized)-skew derivation G and multiplicative left centralizer H satisfying certain conditions in semiprime rings.
Nadeem ur Rehman, Mohammad Shadab Khan
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Generalized Derivations in Semiprime Gamma Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M, α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M, α∈Γ and for some derivation d of M.
Kalyan Kumar Dey +2 more
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Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Comput Intell Neurosci, 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H +5 more
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On Commutativity of Prime and Semiprime - Rings with Reverse Derivations
Iraqi Journal of Science, 2019 Let M be a weak Nobusawa -ring and γ be a non-zero element of Γ. In this paper, we introduce concept of k-reverse derivation, Jordan k-reverse derivation, generalized k-reverse derivation, and Jordan generalized k-reverse derivation of Γ-ring, and γ ...
Shahed Ali Hamil, Abdulrahman H. Majeed
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Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 Jose Brox +4 more
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On Centrally Prime and Centrally Semiprime Rings [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 In this paper, centrally prime and centrally semiprime rings are defined and the relations between these two rings and prime (resp. semiprime) rings are studied.Among the results of the paper some conditions are given under which prime (resp.
Adil Jabbar, Abdularahman Majeed
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