数学
扶正器
纯数学
李共形代数
李代数
域代数上的
分次李代数
作者
Behrooz Fadaee,Hoger Ghahramani,Wu Jing
出处
期刊:Quaestiones Mathematicae
[Informa]
日期:2022-01-17
卷期号:46 (2): 281-300
被引量:7
标识
DOI:10.2989/16073606.2021.2013972
摘要
AbstractAbstractIn this article, we introduce the notion of Lie triple centralizer as follows. Let be an algebra, and be a linear mapping. We say that ϕ is a Lie triple centralizer whenever for all . Then we characterize the general form of Lie triple centralizers on a generalized matrix algebra and under some mild conditions on we present the necessary and sufficient conditions for a Lie triple centralizer to be proper. As an application of our results, we characterize generalized Lie triple derivations on generalized matrix algebras.Mathematics Subject Classification (2020): 16W2547B4715A7816W10Key words: Lie centralizerLie triple centralizergeneralized Lie triple derivationgeneralized matrix algebra
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