文献类型：期刊文献

英文题名：Characterizations of Jordan mappings on some rings and algebras through zero products

作者：Huang, Wenbo[1];Li, Jiankui[1];He, Jun[1]

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

年份：2018

卷号：66

期号：2

起止页码：334

外文期刊名：LINEAR & MULTILINEAR ALGEBRA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000423695200010)】；

基金：This paper was partially supported by National Natural Science Foundation of China [grant number 11371136].

语种：英文

外文关键词：Derivation; generalized matrix ring; Jordan derivation; multiplier; von Neumann algebra

摘要：Let U = A B be a generalized matrix ring, where A and B are 2-torsion free. We prove that if phi : U -> U is an additive mapping such that phi( U) o V + U o f(V) = 0 whenever UV = VU = 0, then phi = delta + eta, where delta is a Jordan derivation and eta is a multiplier. As its applications, we prove that the similar conclusion remains valid on full matrix algebras, unital prime rings with a nontrivial idempotent, unital standard operator algebras, CDCSL algebras and von Neumann algebras.