As an analogue of the Frattini
algebra of a Lie algebra, the Frattini subsystem of a Lie triple system is defined and some elementary properties are investigated. Some further results concerning Frattini subsystems for nilpotent Lie triple systems and solvable Lie triple systems are obtained. Moreover, some necessary and sufficient conditions for a Lie triple system to be Φ-free are given.
Relevant Topics in General Science
