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On classification of 5-dimensional solvable Leibniz algebras


Citation

Khudoyberdiyev, Abror Khakimovich and Sattarovich, Rakhimov Isamiddin and Said Husain, Sharifah Kartini (2014) On classification of 5-dimensional solvable Leibniz algebras. Linear Algebra and Its Applications, 457. pp. 428-454. ISSN 0024-3795; ESSN: 1873-1856

Abstract

In the paper we describe 5-dimensional solvable Leibniz algebras with three-dimensional nilradical. Since those 5-dimensional solvable Leibniz algebras whose nilradical is three-dimensional Heisenberg algebra have been classified before we focus on the rest cases. The result of the paper together with Heisenberg nilradical case gives complete classification of all 5-dimensional solvable Leibniz algebras with three-dimensional nilradical.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1016/j.laa.2014.05.034
Publisher: Elsevier
Keywords: Leibniz algebra; Solvability; Nilpotency; Nilradical; Derivation
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 21 Dec 2015 12:19
Last Modified: 21 Dec 2015 12:19
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.laa.2014.05.034
URI: http://psasir.upm.edu.my/id/eprint/34723
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