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Unification Theories: Examples and Applications
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Unification Theories: New Results and Examples

Simion Stoilow Institute of Mathematics of the Romanian Academy 21 Calea Grivitei Street, 010702 Bucharest, Romania
Axioms 2019, 8(2), 60; https://doi.org/10.3390/axioms8020060
Received: 3 May 2019 / Revised: 16 May 2019 / Accepted: 17 May 2019 / Published: 18 May 2019
(This article belongs to the Special Issue Non-associative Structures and Other Related Structures)
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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-Text
Keywords: Euler’s formula; hyperbolic functions; Yang–Baxter equation; Jordan algebras; Lie algebras; associative algebras; UJLA structures; (co)derivation Euler’s formula; hyperbolic functions; Yang–Baxter equation; Jordan algebras; Lie algebras; associative algebras; UJLA structures; (co)derivation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Nichita, F.F. Unification Theories: New Results and Examples. Axioms 2019, 8, 60.

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