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Unification Theories: Examples and Applications
Article

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)
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
MDPI and ACS Style

Nichita, F.F. Unification Theories: New Results and Examples. Axioms 2019, 8, 60. https://doi.org/10.3390/axioms8020060

AMA Style

Nichita FF. Unification Theories: New Results and Examples. Axioms. 2019; 8(2):60. https://doi.org/10.3390/axioms8020060

Chicago/Turabian Style

Nichita, Florin F. 2019. "Unification Theories: New Results and Examples" Axioms 8, no. 2: 60. https://doi.org/10.3390/axioms8020060

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