摘要
研究了限制李三系的半单元的一些重要性质,给出了若干个限制李三系是可换的条件,得到了限制李三系的有环面元基的几个条件,刻划了限制李三系的Frattini p-子系的一些性质.同时,研究了中心为零的所有元素是半单元的限制李三系的一些重要性质.
The present paper is devoted to some elementary properties of semisimple elements for restricted Lie triple systems. We give some conditions for the commutativity of restricted Lie triple systems, obtain some conditions for which a restricted Lie triple systems possesses a basis consisting of toral elements and characterize some properties of Frattini p-subsystem for restricted Lie triple systems. Moreover, we study some elementary properties of semisimple elements for semisimple restricted Lie triple systems.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第12期243-248,共6页
Mathematics in Practice and Theory
基金
黑龙江教育厅科学技术研究基金(11541366)
关键词
限制李三系
可解李三系
半单李三系
半单元
FRATTINI
p-子系
Restricted Lie triple systems
sovable Lie triple systems
semisimple Lie triplesystems
senfisimple elements
Frattini p-subsystem
