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Your search keyword '"Rehman, Nadeem ur"' showing total 10 results
Start Over Author "Rehman, Nadeem ur" Topic generalized derivation Topic prime ring
10 results on '"Rehman, Nadeem ur"'

3. Commutativity of prime rings with generalized derivations and anti-automorphisms.

Author

Rehman, Nadeem ur and Alnoghashi, Hafedh M.

Subjects
*HYPOTHESIS
Abstract

The purpose of this paper is to study the commutativity of a prime ring ℛ with anti-automorphism ψ and generalized derivation (ℱ , ξ) satisfying certain algebraic identities. Furthermore, we describe the structure of any additive map which is ψ-centralizing on a 2-torsion free prime ring with anti-automorphism ψ. We also provide examples to show that various conditions imposed on the hypotheses of our results are essential. [ABSTRACT FROM AUTHOR]

Published
2022
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4. LIE IDEALS AND ACTION OF GENERALIZED DERIVATIONS IN RINGS.

Author

DHARA, BASUDEB, REHMAN, NADEEM UR, and ARIF RAZA, MOHD

Subjects
*RING theory, *IDEALS (Algebra), *LIE groups, *DERIVATIVES (Mathematics), *QUOTIENT rings
Abstract

Let R be a prime ring of characteristic not 2, U a nonzero square closed Lie ideal of R and F;G;H be the generalized derivations with associated derivations d,δh of R respectively. In the present paper, we study the situations if one the follwoing holds (1) F(u)G(v)±H(uv)ϵ Z(R), (2) F(u)F (v)±H(vu) ϵ Z(R), for all u,v ϵ U, then U ⊆Z(R). [ABSTRACT FROM AUTHOR]

Published
2015
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