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Algebra, Hyperalgebra and Lie-Santilli Theory

Algebra, Hyperalgebra and Lie-Santilli Theory

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, …