Abdulrahman H. Majeed; Anwar Khaleel Faraj
Abstract
In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is ...
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In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself satisfying the conditionG(ur + ru) = G(u)s (r) + G(r)s (u) , for all uÎU, r ÎR . Then G(ur) = G(u)s (r) , for all uÎU, r ÎR . Also, we extend the result of S. M. A. Zaidi, M. Ashraf and S. Ali on left (s ,s )-derivation of prime ring to Jordan ideal by introducing the concept of generalized Jordan left (s ,t )- derivation.
