Keywords : derivation


Some Results on Symmetric Reverse ∗-n-Derivations

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2019, Volume 11, Issue 3, Pages 1-11

In this paper, the commuting and centralizing of symmetric reverse ∗-n-derivation on Lie ideal are studied and the commutativity of prime ∗-ring with the concept of symmetric reverse ∗-n-derivations are proved under certain conditions.

On -Centralizers of Prime and Semiprime Rings

Abdulrahman H. Majeed; Mushreq I. Meften

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2009, Volume 1, Issue 1, Pages 1-9

The purpose of this paper is to prove the following result : Let R be a 2-torsion free ring and T : RR an additive mapping such that 2T(x2) = T(x)(x) + (x)T(x) holds for all x  R. . In this case T is left and right -centralizer , if one of the following statements hold (i) R semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring , where  be surjective endomorphism of