Frattini theory for \(N\)-Lie algebras

We develop a Frattini Theory for \(n\)-Lie algebras by extending theorems of Barnes' to the \(n\)-Lie algebra setting. Specifically, we show some sufficient conditions for the Frattini subalgebra to be an ideal and find an example where the Frattini subalgebra fails to be an ideal.

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Bibliographic Details
Date:2018
Main Author: Williams, Michael Peretzian
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/781
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics