FRATTINI PROPERTIES AND NILPOTENCY IN LEIBNIZ ALGEBRAS

Abstract

Ideals that share properties with the Frattini ideal of a Leibniz

algebra are studied. Similar investigations have been considered in group the-

ory. The results will hold for Lie algebras as well. Many of the results involve

nilpotency of these algebras.

Keywords

• Frattini ideal,Cartan subalgebra,primitive ideal,non-generator

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