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2015 Algebra, Hyperalgebra and Lie-Santilli Theory
B Davvaza
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J. Gen. Lie Theory Appl. 9(2): 1-5 (2015). DOI: 10.4172/1736-4337.1000231

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.

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B Davvaza. "Algebra, Hyperalgebra and Lie-Santilli Theory." J. Gen. Lie Theory Appl. 9 (2) 1 - 5, 2015. https://doi.org/10.4172/1736-4337.1000231

Information

Published: 2015
First available in Project Euclid: 2 February 2016

zbMATH: 06538942
MathSciNet: MR3642242
Digital Object Identifier: 10.4172/1736-4337.1000231

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

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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Vol.9 • No. 2 • 2015
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