the National Natural Science Foundation of China(Nos.11171055,11071068,11126129);the Natural Science Foundation of Jilin Province(No.201115006);the Scientific ResearchFoundation for Returned Scholars Ministry of Education of China;the 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)
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...