Leibniz algebras are similar in many ways to Lie algebras. When studying these algebras, a common theme is to determine which properties of Lie algebras also apply to the Leibniz algebra framework. In particular, we can consider the Frattini subalgebra, an analogue of the Frattini subgroup introduced in 1885, which has been studied in detail in Lie algebras. In this work, we obtain properties of Leibniz algebras relating to the Frattini subalgebra and the intersections of other types of subalgebras.
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