Unification Theories: New Results and Examples

Author:

Nichita Florin F.ORCID

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference14 articles.

1. Unification Theories: Examples and Applications

2. On Transcendental Numbers: New Results and a Little History

3. Set-theoretic solutions of the Yang–Baxter equation and new classes of R-matrices

4. Quantum integrable combinatorics of Schur polynomials;Motegi;arXiv,2015

5. On Jordan algebras and unification theories;Nichita;Rev. Roum. Math. Pures Appl.,2016

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