Results 41 to 50 of about 83 (83)
A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
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A Note on Multiplicative (Generalized) (α, β)-Derivations in Prime Rings
Annales Mathematicae Silesianae, 2019 Let R be a prime ring with center Z(R). A map G : R →R is called a multiplicative (generalized) (α, β)-derivation if G(xy)= G(x)α(y)+β(x)g(y) is fulfilled for all x; y ∈ R, where g : R → R is any map (not necessarily derivation) and α; β : R → R are ...
Rehman Nadeem ur +2 more
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Derivations and commutativity of σ-prime rings, [PDF]
, 2006 Let R be a σ-prime ring with characteristic not two and d be a nonzero derivation of R commuting with σ. The purpose of this paper is to give suitable conditions under which R must be commutative.
L Oukhtite, S Salhi
core
On Additivity and Multiplicativity of Centrally Extended (α, β)‐Higher Derivations in Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this paper, the concept of centrally extended (α, β)‐higher derivations is studied. It is shown to be additive in a ring without nonzero central ideals. Also, we prove that in semiprime rings with no nonzero central ideals, every centrally extended (α, β)‐higher derivation is an (α, β)‐higher derivation.
O. H. Ezzat, Attila Gil nyi
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Semigroup ideal in Prime Near-Rings with Derivations
مجلة بغداد للعلوم, 2011 In this paper we generalize some of the results due to Bell and Mason on a near-ring N admitting a derivation D , and we will show that the body of evidence on prime near-rings with derivations have the behavior of the ring.
Baghdad Science Journal
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On skew derivations and generalized skew derivations in Banach algebras
, 2021 Let be a unital prime Banach algebra over ℝ or ℂ with centre and G1,G2 be open subsets of , F : → be a continuous linear generalized skew derivation, and D : → be a continuous linear map.
Alhazmi, Husain +3 more
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Multiplicative *-Lordan type higher derivations on Von Neumann algebras
, 2021 Let be a von Neumann algebra without nonzero central abelian projections on a complex Hilbert space . Let pn (X 1 , X 2 , · · ·, Xn ) be the polynomial defined by n indeterminates X 1,
Ashraf, Mohammed +2 more
core
Lie ideals and derivations of σ-prime rings”, [PDF]
, 2007 Let R be a 2-torsion free σ-prime ring with involution σ, U a nonzero Lie ideal of R and d : R −→ R a nonzero derivation commuting with σ.
L Oukhtite, S Salhi
core
On certain functional equation related to derivations
Open MathematicsIn this article, we prove the following result. Let n≥3n\ge 3 be some fixed integer and let RR be a prime ring with char(R)≠(n+1)!2n−2{\rm{char}}\left(R)\ne \left(n+1)\!{2}^{n-2}.
Marcen Benjamin, Vukman Joso
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On Equality of Certain Derivations of Lie Algebras
Discussiones Mathematicae - General Algebra and Applications, 2019 Let L be a Lie algebra. A derivation α of L is a commuting derivation (central derivation), if α (x) ∈ CL (x) (α (x) ∈ Z (L)) for each x ∈ L. We denote the set of all commuting derivations (central derivations) by 𝒟 (L) (Derz (L)).
Amiri Azita +2 more
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