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Two Generator Subsystems of Lie Triple System
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作者 FENG JIAN-QIANG 《Communications in Mathematical Research》 CSCD 2012年第1期91-96,共6页
For a Lie triple system T over a field of characteristic zero, some sufficient conditions for T to be two-generated are proved. We also discuss to what extent the two-generated subsystems determine the structure of th... For a Lie triple system T over a field of characteristic zero, some sufficient conditions for T to be two-generated are proved. We also discuss to what extent the two-generated subsystems determine the structure of the system T . One of the main results is that T is solvable if and only if every two elements generates a solvable subsystem. In fact, we give an explicit two-generated law for the two-generated subsystems. 展开更多
关键词 lie triple system two generated subsystem solvable
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The Frattini p-subsystem of a Solvable Restricted Lie Triple System 被引量:1
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作者 Liang Yun CHEN Dong LIU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第10期1887-1898,共12页
As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some ... As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some properties of the Frattini p-subsystem and give the relationship between Фp(T) and Ф(T) for solvable Lie triple systems. 展开更多
关键词 Restricted lie triple systems solvable lie triple systems the Frattini p-subsystem the Frattini p-ideal
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限制李三系的若干性质 被引量:4
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作者 刘秀娟 徐晓宁 陈良云 《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
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.
关键词 限制李三系 Frattinip-子系 p-可解 P-幂零
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