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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154628 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Frattini theory for N-Lie algebras / Michael Peretzian Williams // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 2. — С. 108–115. — Бібліогр.: 7 назв. — англ. |