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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
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