文献类型：期刊文献

英文题名：CHARACTERIZATIONS OF LINEAR MAPPINGS THROUGH ZERO PRODUCTS OR ZERO JORDAN PRODUCTS

作者：An, Guanyu[1];Li, Jiankui[1]

机构：[1]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2016

卷号：31

起止页码：408

外文期刊名：ELECTRONIC JOURNAL OF LINEAR ALGEBRA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000378272100004)】；

基金：The authors thank the referee for his or her suggestions. This research was partly supported by National Natural Science Foundation of China (Grant no. 11371136).

语种：英文

外文关键词：Generalized derivation; Generalized Jordan derivation; Jordan left derivation; Zero Jordan product determined algebra

摘要：Let A be a unital algebra and M be a unital A-bimodule. A characterization of generalized derivations and generalized Jordan derivations from A into M, through zero products or zero Jordan products, is given. Suppose that M is a unital left A-module. It is investigated when a linear mapping from A into M is a Jordan left derivation under certain conditions. It is also studied whether an algebra with a nontrivial idempotent is zero Jordan product determined, and Jordan homomorphisms, Lie homomorphisms and Lie derivations on zero Jordan product determined algebras are characterized.