Journal of Generalized Lie Theory and Applications

Algebra, Hyperalgebra and Lie-Santilli Theory

B Davvaza

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Abstract

The theory of hyperstructures can offer to the Lie-Santilli Theory a variety of models to specify the mathematical representation of the related theory. In this paper we focus on the appropriate general hyperstructures, especially on hyperstructures with hyperunits. We define a Lie hyperalgebra over a hyperfield as well as a Jordan hyperalgebra, and we obtain some results in this respect. Finally, by using the concept of fundamental relations we connect hyper algebras to Lie algebras and Lie-Santilli-addmissible algebras.

Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 2 (2015), 5 pages.

Dates
First available in Project Euclid: 2 February 2016

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1454422005

Digital Object Identifier
doi:10.4172/1736-4337.1000231

Mathematical Reviews number (MathSciNet)
MR3642242

Zentralblatt MATH identifier
06538942

Keywords
Algebra Hyperring Hyperfield Hypervector space Hyper algebra Lie hyperalgea Lie admissible hyperalgebra Fundamental relation

Citation

Davvaza, B. Algebra, Hyperalgebra and Lie-Santilli Theory. J. Gen. Lie Theory Appl. 9 (2015), no. 2, 5 pages. doi:10.4172/1736-4337.1000231. https://projecteuclid.org/euclid.jglta/1454422005


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