限制李三系的若干性质  

Some properties of restricted Lie triple systems

作　　者：刘秀娟[1] 徐晓宁[2] 陈良云[3] 

机构地区：[1]佳木斯大学理学院,黑龙江佳木斯154007 [2]辽宁大学数学学院,辽宁沈阳110036 [3]东北师范大学数学与统计学院,吉林长春130024

出　　处：《东北师大学报（自然科学版）》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)

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.

关 键 词：限制李三系 Frattinip-子系 p-可解 P-幂零 

分 类 号：O152.5[理学—数学]