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] Department of Mathematics, East China University of Science and Technology, Shanghai, China

年份：2017

外文期刊名：arXiv

收录：EI(收录号：20200055014)

语种：英文

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. We obtain the (necessary and) sufficient conditions for a Lie n-derivation φ on A to be of the form φ = d + δ + γ, where d is a derivation on A, δ is a singular Jordan derivation on A and γ is a linear mapping from A into the centre Z(A) vanishing on all (n-1)-th commutators of A. In particular, we also discuss the (necessary and) sufficient conditions for a Lie n-derivation φ on A to be standard, i.e., φ = d + γ. Copyright ? 2017, The Authors. All rights reserved.