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ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

Generalizing Two Structure Theorems of Lie Algebras to the Fuzzy Lie Algebras

Da Motta Ferreira JC* and Bruno Marietto MG

Center for Mathematics, Computation and Cognition, Federal University of ABC, 09210-170 Santo André, SP, Brazil

Corresponding Author:
Da Motta Ferreira JC
Center for Mathematics
Computation and Cognition
Federal University of ABC
09210-170 Santo André, SP, Brazil
Tel: +551149967914
E-mail: [email protected]

Received date: April 23, 2015; Accepted date: November 11, 2015; Published date: November 14, 2015

Citation: Da Motta Ferreira JC, Bruno Marietto MG (2015) Generalizing Two Structure Theorems of Lie Algebras to the Fuzzy Lie Algebras . J Generalized Lie Theory Appl 9:234. doi:10.4172/1736-4337.1000234

Copyright: © 2015 Da Motta Ferreira JC, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this paper we generalize two structure theorems of the class of Lie algebras to the class of fuzzy Lie algebras, namely the structure theorem of semisimple Lie algebras and the Levi’s decomposition theorem. Some open questions are also given.

Keywords

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