Frattini Properties and Nilpotency in Leibniz Algebras

Ideals that share properties with the Frattini ideal of a Leibniz algebra are studied. Similar investigations have been considered in group theory. However most of the results are new for Lie algebras. Many of the results involve nilpotency of these algebras.

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Bibliographic Details
Published in:arXiv.org 2015-06
Main Authors: McAlister, Allison, Kristen Stagg Rovira, Stitzinger, Ernie
Format: Article
Language:English
Subjects:
Algebra
Group theory
Lie groups
Online Access:Get full text
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Description
Summary:Ideals that share properties with the Frattini ideal of a Leibniz algebra are studied. Similar investigations have been considered in group theory. However most of the results are new for Lie algebras. Many of the results involve nilpotency of these algebras.
ISSN:2331-8422