Results 1 to 10 of about 166 (91)
A Generalized Higher Reverse Left (respectively Right) Centralizer on Prime Gamma-Rings
Mathematical theory and modelling, 2019 This study introduces the concepts of generalized higher reverse left (respectively right) centralizer , Jordan generalized higher reverse left (respectively right) centralizer and Jordan triple generalized higher reverse left (respectively right ...
Fawaz Ra'ad Jarullah, S. M. Salih
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Some commutativity criteria involving endomorphism conditions on prime ideals
Hacettepe Journal of Mathematics and Statistics, 2022 In this paper we initiate a new approach consisting to characterize the commutativity of a quotient ring R/P by endomorphisms of R satisfying some algebraic identities involving the prime ideal P.
L. Oukhtite, A. Mamouni, M. Zerra
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CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS
International Electronic Journal of Algebra, 2021 The purpose of the present paper is to classify generalized derivations satisfying more specific algebraic identities in a prime ring with involution of the second kind.
M. A. Idrissi, L. Oukhtite
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A Note on Amalgamated Rings Along an Ideal
Annales Mathematicae Silesianae, 2021 Ring properties of amalgamated products are investigated. We offer new, elementary arguments which extend results from [5] and [12] to noncommutative setting and also give new properties of amalgamated rings.
Nowakowska Marta
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On The Identity d(x) = λx + ζ(x)
Journal of Al-Rafidain University College For Sciences ( Print ISSN: 1681-6870 ,Online ISSN: 2790-2293 ), 2021 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, where d a derivation on R and R has a cancellation property with identity.
M. Atteya, D. Resan
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On the Skew Lie Product and Derivations of Prime Rings with Involution
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie ...
Mozumder Muzibur Rahman +3 more
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On multiplicative centrally-extended maps on semi-prime rings
Journal of Taibah University for Science, 2022 In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
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Left Annihilator of Identities with Generalized Derivations in Prime and Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2021 Let R be a noncommutative prime ring of char (R) ≠ 2, F a generalized derivation of R associated to the derivation d of R and I a nonzero ideal of R. Let S ⊆ R.
Rahaman Md Hamidur
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Jordan triple (α,β)-higher ∗-derivations on semiprime rings
Demonstratio Mathematica, 2023 In this article, we define the following: Let N0{{\mathbb{N}}}_{0} be the set of all nonnegative integers and D=(di)i∈N0D={\left({d}_{i})}_{i\in {{\mathbb{N}}}_{0}} a family of additive mappings of a ∗\ast -ring RR such that d0=idR{d}_{0}=i{d}_{R}. DD is
Ezzat O. H.
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Prime Gamma Rings with Centralizing and Commuting Generalized Derivations [PDF]
, 2016 Let M be a prime Γ-ring satisfying a certain assumption and D a nonzero derivation on M . Let f : M → M be a generalized derivation such that f is centralizing and commuting on a left ideal J of M . Then we prove that M is commutative.
Md Fazlul Hoque, A. C. Paul
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