Towers, David A. (2012) Solvable complemented Lie algebras. Proceedings of the American Mathematical Society, 140 (11). pp. 3823-3830.
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In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
|Journal or Publication Title:||Proceedings of the American Mathematical Society|
|Additional Information:||First published in Proceedings of the American Mathematical Society in Vol. 140, (11), 2012, published by the American Mathematical Society|
|Uncontrolled Keywords:||Lie algebras ; complemented ; solvable ; Frattini ideal ; prefrattini subalgebra ; residual ; Lie A-algebra|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Dr David A. Towers|
|Deposited On:||21 Apr 2011 09:09|
|Last Modified:||09 Oct 2013 12:44|
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