文献类型：期刊文献

英文题名：Zero Jordan product determined algebras

作者：An, Guangyu[1];Li, Jiankui[1];He, Jun[1]

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

年份：2015

卷号：475

起止页码：90

外文期刊名：LINEAR ALGEBRA AND ITS APPLICATIONS

收录：;EI(收录号：20150900578827);WOS:【SCI-EXPANDED(收录号:WOS:000355039000008)】；

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：Matrix algebra; Zero Jordan product determined algebra

摘要：We prove that a unital algebra A over a field of characteristic not 2 is zero Jordan product determined if it is generated by idempotents. Since an example of such an algebra is the matrix algebra M-n(B) where n >= 2 and B is any unital algebra, this yields answers to questions posed in [4, p. 1492] and [7, p. 117]. (C) 2015 Elsevier Inc. All rights reserved.