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| 限制李三系的若干性质 | |
| 引用本文： | 刘秀娟,徐晓宁,陈良云.限制李三系的若干性质[J].东北师大学报(自然科学版),2009,41(2). |
| 作者姓名： | 刘秀娟 徐晓宁 陈良云 |
| 作者单位： | 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 |
| 基金项目： | 国家自然科学基金，佳木斯大学科技项目 |
| 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、Frattini p-子系、Frattini-理想和Frattini P-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,并讨论了户-幂零限制李三系. |
| 关 键 词： | 限制李三系 Frattini P-子系 P-可解 P-幂零 |
Some properties of restricted Lie triple systems |
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| LIU Xiu-juan,XU Xiao-ning,CHEN Liang-yun.Some properties of restricted Lie triple systems[J].Journal of Northeast Normal University (Natural Science Edition),2009,41(2). | |
| Authors: | LIU Xiu-juan XU Xiao-ning CHEN Liang-yun |
| Institution: | LIU Xiu-juan1,XU Xiao-ning2,CHEN Liang-yun3(1.School of Science,Jiamusi University,Jiamusi 154007,China,2.School of Mathematics,Liaoning University,Shenyang 110036,3.School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China) |
| Abstract: | 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 restri... |
| Keywords: | restricted Lie triple systems Frattini p-subsystem p-solvable p-nilpotent |
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