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-  2019 

Unification Theories: New Results and Examples

DOI: https://doi.org/10.3390/axioms8020060

Keywords: Euler’s formula, hyperbolic functions, Yang–Baxter equation, Jordan algebras, Lie algebras, associative algebras, UJLA structures, (co)derivation

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Abstract:

Abstract This paper is a continuation of a previous article that appeared in AXIOMS in 2018. A Euler’s formula for hyperbolic functions is considered a consequence of a unifying point of view. Then, the unification of Jordan, Lie, and associative algebras is revisited. We also explain that derivations and co-derivations can be unified. Finally, we consider a “modified” Yang–Baxter type equation, which unifies several problems in mathematics. View Full-Tex

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