On Jordan Left Derivations of Lie Ideals in Prime Rings

On Jordan Left Derivations of Lie Ideals in Prime Rings
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DOI:
10.1007/s10012-001-0379-4
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发表时间:
2002-02
影响因子:
0.2
通讯作者:
M. Ashraf;Nadeem-ur-Rehman;Shakir Ali
M. Ashraf;Nadeem-ur-Rehman;Shakir Ali
中科院分区:
数学4区
文献类型:
--
作者:
M. Ashraf;Nadeem-ur-Rehman;Shakir Ali

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LetRbe a prime ring with characteristic different from two andUbe a Lie ideal ofRsuch thatu2ɛUfor alluɛU.In the present paper it is shown that ifdis an additive mappings ofRinto itself satisfyingd(u2) = 2ud(u), for alluɛU, then eitherUɛZ(R) ord(U) = (0).