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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Official URL: http://dx.doi.org/10.1090/S0002-9939-2012-11244-4

## 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: | Article |
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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 |

ID Code: | 40223 |

Deposited By: | Dr David A. Towers |

Deposited On: | 21 Apr 2011 09:09 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 10 Dec 2016 01:52 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/40223 |

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