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Dr. Radwan Mohammed Al-Omary
Yemen
https://www.mysciencework.com/profile/dr.radwan.mohammed.al.omary
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Published articles Show More
On (𝛼,𝛽)-derivations in d-algebras
Published in Bollettino dell'Unione Matematica Italiana
Let (𝑋,∗,0) be a d-algebra and 𝛼,𝛽 are endomorphisms on X. Motivated by some results on derivations, (𝛼,𝛽)-derivation in rings, and the generalizations of BCK and BCI-algebras, in this paper, we introduce the notion of (𝛼,𝛽)-derivations on d-algebras, construct several examples and investigate some simple and important results.
On Ideals and Commutativity of Prime Rings with Generalized Derivations
Published in European Journal of Pure and Applied Mathematics
An additive mapping F: R → R is called a generalized derivation on R if there exists a derivation d: R → R such that F(xy) = xF(y) + d(x)y holds for all x,y ∈ R. It is called a generalized (α,β)−derivation on R if there exists an (α,β)−derivation d: R → R such that the equation F(xy) = F(x)α(y)+β(x)d(y) holds for all x,y ∈ R. In the present paper, ...
Lie Ideals and Centralizing Mappings with Generalized Derivations
Published in Journal of Scientific Research and Reports
Let R be a prime ring with char(R) ≠ 2, Z(R) the center of R and L be a nonzero square closed Lie ideal of R. An additive mapping F : R → R is called a generalized derivation on R if there exists a derivation d : R → R such that F(xy) = xF(y) + d(x)y for all x, y ∈ R. In the present paper we shall show that L ⊆ Z(R) such that R admitting a generali...
