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Solvable complemented Lie algebras.

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>1/01/2012
<mark>Journal</mark>Proceedings of the American Mathematical Society
Issue number11
Volume140
Number of pages8
Pages (from-to)3823-3830
<mark>State</mark>Published
<mark>Original language</mark>English

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.

Bibliographic note

First published in Proceedings of the American Mathematical Society in Vol. 140, (11), 2012, published by the American Mathematical Society