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Some Subsystems of a Lie Triple System Closely Related to Its Frattini Subsystem 被引量:2
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作者 Liangyun CHEN Dong LIU Xiaoning XU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第5期791-800,共10页
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 nilpoten... 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 inititally c-ideals for a Lie triple system and make use of them to give some characterizations of a solvable Lie triple system. 展开更多
关键词 Frattini subsystem Jacobson radical c-ideals SOLVABLE NILPOTENT
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