摘要
把群的Frattini理论拓展到限制李三系中,给出了限制李三系的Frattini-子系、Frattinip-子系、Frattini-理想和Frattinip-理想的一些性质.同时,给出p-可解限制李三系的性质,得到限制李三系交换的一些充分条件,并讨论了p-幂零限制李三系.
The present paper is devoted to studying the structure of restricted Lie triple systems. First, it develops a Frattini theory for restricted Lie triple systems,gives some elementary properties of Frattini subsystem and Frattini p-system, Frattini ideal and Frattini p-ideal of restricted Lie triple systems. Moreover, it gives some elementary properties of p-solvable restricted Lie triple systems, obtain some sufficient conditions for the commutativity of restricted Lie triple systems and discuss p-nilpotent restricted Lie triple systems.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期7-12,共6页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10701019
10871057)
佳木斯大学科技项目(L2008-056)
