The Frattini Subsystem of a Lie Supertriple System

In the present paper, we develop initially the Frattini theory for Lie supertriple systems, obtain some properties of the Frattini subsystem and show that the intersection of all maximal subsystems of a solvable Lie supertriple system is its ideal. Moreover, we give the relationship between φ-free and complemented for Lie supertriple system.

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