收稿日期: 2019-12-20
网络出版日期: 2020-09-03
Left Annihilator of Power Values with Derivations on Lie Ideals in Prime Rings
Received date: 2019-12-20
Online published: 2020-09-03
Supported by
Supported by Anhui Natural Science Foundation(1808085MA14;1908085MA03) and the Key University Science Research Project of Anhui Province(KJ2018A0433)
黄述亮 . 素环李理想上带有导子幂值的左零化子[J]. 数学季刊, 2020 , 35(2) : 179 -185 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.02.005
Let R be a prime ring with characteristic di®erent from two, d a derivation of R, L a noncentral Lie ideal of R, and a \in R. In the present paper it is showed that if
a(d(u^m)\pm u^m)^n=0
for all u \in L, where m; n are fixed positive integers, then a = 0 unless R satisfies s4, the standard polynomial identity in four variables.Key words： Derivation; Extended centroid; Lie ideal; Prime ring
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