This article is cited 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

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

Language: English

Bibliographic databases:

• 
•