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Algebra and Discrete Mathematics, 2009, Issue 2, Pages 108–115 (Mi adm123)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Frattini theory for $N$-Lie algebras

Michael Peretzian Williams

Department of Mathematics, Box 8205, NC State University, Raleigh, NC 27695–8205
Full-text PDF (216 kB) Citations (1)
Abstract: 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.
Keywords: Lie algebras, non-associative algebras.
Received: 22.02.2005
Revised: 12.10.2009
Bibliographic databases:
Document Type: Article
Language: English
Citation: Michael Peretzian Williams, “Frattini theory for $N$-Lie algebras”, Algebra Discrete Math., 2009, no. 2, 108–115
Citation in format AMSBIB
\Bibitem{Wil09}
\by Michael~Peretzian~Williams
\paper Frattini theory for $N$-Lie algebras
\jour Algebra Discrete Math.
\yr 2009
\issue 2
\pages 108--115
\mathnet{http://mi.mathnet.ru/adm123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2589077}
\zmath{https://zbmath.org/?q=an:1185.17002}
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  • https://www.mathnet.ru/eng/adm/y2009/i2/p108
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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