Left annihilator of generalized derivations on Lie ideals in prime rings

被引:4
|
作者
Shujat F. [1 ]
Khan S. [2 ]
机构
[1] Department of Mathematics, Taibah University, Madinah
[2] Department of Mathematics, Aligarh Muslim University, Aligarh
关键词
Extended centroid; Generalized derivation; Prime ring; Utumi quotient ring;
D O I
10.1007/s12215-014-0182-6
中图分类号
学科分类号
摘要
Let R be a prime ring, L a noncentral Lie ideal of R, F a generalized derivation with associated nonzero derivation d of R. If a ∈ R such that (Formula Presented.) for all (Formula Presented.), where (Formula Presented.) are fixed non negative integers not all are zero and n is a fixed integer, then either a=0 or R satisfies S4, the standard identity in four variables. © 2014, Springer-Verlag Italia.
引用
收藏
页码:77 / 81
页数:4
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