Results 11 to 20 of about 507 (91)
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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Maurer-Cartan equation in the DGLA of graded derivations
Complex Manifolds, 2021 Let M be a smooth manifold and D = ℒΨ+𝒥Ψ a solution of the Maurer-Cartan equation in the DGLA of graded derivations D* (M) of differential forms on M, where Ψ, Ψ are differential 1-form on M with values in the tangent bundle TM and ℒΨ, 𝒥Ψ are the d* and ...
de Bartolomeis Paolo, Iordan Andrei
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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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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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On certain functional equation in prime rings
Open Mathematics, 2022 The purpose of this paper is to prove the following result. Let RR be prime ring of characteristic different from two and three, and let F:R→RF:R\to R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2)F\left({x}^{3})=F\left({x}^{2})
Fošner Maja +2 more
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A Result on Prime Rings with Generalized Derivations
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we investigate the following result. Let R be a prime ring, Q its symmetric Martindale quotient ring, C its extended centroid, I a nonzero ideal of R.
Shujat Faiza, Khan Shahoor
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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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ENDOMORPHISMS WITH CENTRAL VALUES ON PRIME RINGS WITH INVOLUTION
International Electronic Journal of Algebra, 2020 In this paper we present some commutativity theorems for prime rings R with involution ∗ of the second kind in which endomorphisms satisfy certain algebraic identities.
L. Oukhtite, H. E. Mir, B. Nejjar
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Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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