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
基金the National Natural Science Foundation of China(Nos.11171055,11071068,11126129)the Natural Science Foundation of Jilin Province(No.201115006)+4 种基金the Scientific ResearchFoundation for Returned Scholars Ministry of Education of Chinathe Natural Science Foundationof Zhejiang Province(No.D7080080)Qianjiang Excellence Project(No.2007R10031)the InnovationTeam Foundation of the Department of Education of Zhejiang Province(No.T200924)the PhDStart-up Foundation of Liaoning University of China(No.2012002)
文摘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.
