Some Subsystems of a Lie Triple System Closely Related to Its Frattini Subsystem |
| |
Authors: | Liangyun CHEN Dong LIU and Xiaoning XU |
| |
Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China 2. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, Zhejiang, China 3. School of Mathematics, Liaoning University, Shenyang 110036, China |
| |
Abstract: | The main purpose of the present paper is to give some properties of the Jacobson radical, the Frattini subsystem and c-ideals of a Lie triple system. Some further results concerning the Frattini subsystems of nilpotent and solvable Lie triple systems are obtained. Moreover, we develop initially c-ideals for a Lie triple system and make use of them to give some characterizations of a solvable Lie triple system. |
| |
Keywords: | Frattini subsystem Jacobson radical c-ideals Solvable Nilpotent |
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |