文献类型：期刊文献

英文题名：LOCAL LIE n-DERIVATIONS on CERTAIN ALGEBRAS

作者：Li, Shan[1]; Li, Jiankui[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2021

外文期刊名：arXiv

收录：EI(收录号：20210400676)

语种：英文

摘要：We prove that each local Lie n-derivation is a Lie n-derivation under mild assumptions on the unital algebras with a nontrivial idempotent. As applications, we obtain descriptions of local Lie n-derivations on generalized matrix algebras, triangular algebras, nest algebras, von Neumann algebras, and the algebras of locally measurable operators affiliated with a von Neumann algebra. Copyright ? 2021, The Authors. All rights reserved.