Solvable complemented Lie algebras
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- by David A. Towers
- Proc. Amer. Math. Soc. 140 (2012), 3823-3830
- DOI: https://doi.org/10.1090/S0002-9939-2012-11244-4
- Published electronically: March 20, 2012
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Abstract:
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a vector space 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.References
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Bibliographic Information
- David A. Towers
- Affiliation: Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England
- MR Author ID: 173875
- Email: d.towers@lancaster.ac.uk
- Received by editor(s): April 20, 2011
- Received by editor(s) in revised form: April 26, 2011, and May 8, 2011
- Published electronically: March 20, 2012
- Communicated by: Kailash C. Misra
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 3823-3830
- MSC (2010): Primary 17B05, 17B30; Secondary 17B10, 17B50
- DOI: https://doi.org/10.1090/S0002-9939-2012-11244-4
- MathSciNet review: 2944723