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On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 29, Issue 3, 2011, Pages 544-553 PDF (257.41 K) | ||
| DOI: 10.30684/etj.29.3.11 | ||
| Authors | ||
| 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 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. | ||
| Keywords | ||
| centralizer; derivation; left; generalized; prime ring | ||
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