文献类型：期刊文献

英文题名：Characterizations of Lie n-Derivations of Unital Algebras with Nontrivial Idempotents

作者：Ding, Yana[1];Li, Jiankui[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China

年份：2018

卷号：32

期号：13

起止页码：4731

外文期刊名：FILOMAT

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000461182700024)】；

基金：Research supported by National Natural Science Foundation of China [Grant No. 11371136]

语种：英文

外文关键词：Lie derivation; Lie n-derivation; Lie triple derivation; singular Jordan derivation; standard

摘要：Let A be a unital algebra with a nontrivial idempotent e, and f = 1 - e. Suppose that A satisfies that exe . eAf = {0} = fAe . exe implies exe = 0 and eAf . fxf = {0} = fxf . fAe implies fxf = 0 for each x in A. For a Lie n-derivation phi , on A, we obtain the necessary and sufficient conditions for phi to be standard, i.e., phi = d + gamma, where d is a derivation on A, and gamma is a linear mapping from A into the centre Z(A) vanishing on all (n - 1)-th commutators of A. Furthermore, we also consider the sufficient conditions under which each Lie n-derivation on A can be standard.