FRATTINI PROPERTIES AND NILPOTENCY IN LEIBNIZ ALGEBRAS

Year 2019, Volume: 25 Issue: 25, 64 - 76, 08.01.2019

Allison Mcalister Kristen Stagg Rovira Ernie Stitzinger

https://doi.org/10.24330/ieja.504114

Cited By: 1

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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