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Solvable complemented Lie algebras.

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Solvable complemented Lie algebras. / Towers, David A.
In: Proceedings of the American Mathematical Society, Vol. 140, No. 11, 01.01.2012, p. 3823-3830.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Towers, DA 2012, 'Solvable complemented Lie algebras.', Proceedings of the American Mathematical Society, vol. 140, no. 11, pp. 3823-3830. https://doi.org/10.1090/S0002-9939-2012-11244-4

APA

Towers, D. A. (2012). Solvable complemented Lie algebras. Proceedings of the American Mathematical Society, 140(11), 3823-3830. https://doi.org/10.1090/S0002-9939-2012-11244-4

Vancouver

Towers DA. Solvable complemented Lie algebras. Proceedings of the American Mathematical Society. 2012 Jan 1;140(11):3823-3830. doi: 10.1090/S0002-9939-2012-11244-4

Author

Towers, David A. / Solvable complemented Lie algebras. In: Proceedings of the American Mathematical Society. 2012 ; Vol. 140, No. 11. pp. 3823-3830.

Bibtex

@article{40ddbfbecf6f4b74a1045b8da1f842f7,
title = "Solvable complemented Lie algebras.",
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.",
keywords = "Lie algebras, complemented, solvable, Frattini ideal, prefrattini subalgebra, residual, Lie A-algebra",
author = "Towers, {David A.}",
note = "First published in Proceedings of the American Mathematical Society in Vol. 140, (11), 2012, published by the American Mathematical Society",
year = "2012",
month = jan,
day = "1",
doi = "10.1090/S0002-9939-2012-11244-4",
language = "English",
volume = "140",
pages = "3823--3830",
journal = "Proceedings of the American Mathematical Society",
issn = "1088-6826",
publisher = "American Mathematical Society",
number = "11",

}

RIS

TY - JOUR

T1 - Solvable complemented Lie algebras.

AU - Towers, David A.

N1 - First published in Proceedings of the American Mathematical Society in Vol. 140, (11), 2012, published by the American Mathematical Society

PY - 2012/1/1

Y1 - 2012/1/1

N2 - 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.

AB - 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.

KW - Lie algebras

KW - complemented

KW - solvable

KW - Frattini ideal

KW - prefrattini subalgebra

KW - residual

KW - Lie A-algebra

U2 - 10.1090/S0002-9939-2012-11244-4

DO - 10.1090/S0002-9939-2012-11244-4

M3 - Journal article

VL - 140

SP - 3823

EP - 3830

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 1088-6826

IS - 11

ER -