Journal of Generalized Lie Theory and Applications

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

João Carlos da Motta Ferreira and Maria das Graças Bruno Marietto

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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.

Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 2 (2015), 4 pages.

Dates
First available in Project Euclid: 2 February 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1454422008

Digital Object Identifier
doi:10.4172/1736-4337.1000234

Mathematical Reviews number (MathSciNet)
MR3642245

Zentralblatt MATH identifier
06538945

Keywords
Semisimple fuzzy lie algebras Levi’s fuzzy decomposition Fuzzy lie algebras

Citation

da Motta Ferreira, João Carlos; Bruno Marietto, Maria das Graças. Generalizing Two Structure Theorems of Lie Algebras to the Fuzzy Lie Algebras. J. Gen. Lie Theory Appl. 9 (2015), no. 2, 4 pages. doi:10.4172/1736-4337.1000234. https://projecteuclid.org/euclid.jglta/1454422008


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