On Lie Ideals and Generalized Jordan Left Derivations of Prime Rings

被引:0
|
作者
N. Rehman
A. Z. Ansari
机构
[1] Aligarh Muslim University,
来源
Ukrainian Mathematical Journal | 2014年 / 65卷
关键词
Prime Ring; Semiprime Ring; Jordan Derivation; Left Derivation; Generalize Polynomial Identity;
D O I
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中图分类号
学科分类号
摘要
Let R be a prime ring with characteristic different from 2 and U be a Lie ideal of R. In the paper, we initiate the study of generalized Jordan left derivations on Lie ideals of R and prove that every generalized Jordan left derivation on U is a generalized left derivation on U. Further, it is shown that generalized Jordan left biderivation associated with the left biderivation on U is either U ⊆ Z(R) or a right bicentralizer on U.
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页码:1247 / 1256
页数:9
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