On Jordan Left Derivations of Lie Ideals in Prime Rings |
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| Authors: | Mohammad Ashraf Nadeem-ur-Rehman Shakir Ali |
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| Affiliation: | (1) Department of Mathematics, Faculty of science, King Abdul Aziz University, P.O. Box. 80203, Jeddah, 21589, Saudi-Arabia;(2) Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India |
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| Abstract: | Let R be a prime ring with characteristic different from two and U be a Lie ideal of R such that u2  U for all u U. In the present paper it is shown that if d is an additive mappings of R into itself satisfying d(u2) = 2ud(u), for all u U, then either U Z(R) or d(U) = (0).1991 Mathematics Subject Classification 16W25 16N60 |
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| Keywords: | Lie ideals prime rings Jordan left derivations left derivations torsion free rings |
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