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