Solvable complemented Lie algebras.

Towers, David A. (2012) Solvable complemented Lie algebras. Proceedings of the American Mathematical Society, 140 (11). pp. 3823-3830. ISSN 1088-6826

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Abstract

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.

Item Type:

Journal Article

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:

/dk/atira/pure/core/keywords/mathsandstatistics

Subjects:

?? lie algebrascomplementedsolvablefrattini idealprefrattini subalgebraresiduallie a-algebramathematics and statisticsapplied mathematicsgeneral mathematicsmathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

40223

Deposited By:

Dr David A. Towers

Deposited On:

21 Apr 2011 08:09

Refereed?:

Yes

Published?:

Published

Last Modified:

18 Oct 2024 23:40

URI:

https://eprints.lancs.ac.uk/id/eprint/40223