Yang–Baxter equation in median algebras

In this paper, at first median algebras and the Yang–Baxter equation are studied, some of their properties are presented. After giving some solutions to the set-theoretical Yang–Baxter equation by using these properties, it is found a solution that is not usually a solution to the set-theoretical Ya...

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Published in:Rendiconti del Circolo matematico di Palermo 2021-04, Vol.70 (1), p.79-95
Main Authors: Oner, Tahsin, Katican, Tugce, Borumand Saeid, Arsham
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Language:English
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Algebra
Analysis
Applications of Mathematics
Boolean algebra
Geometry
Mathematics
Mathematics and Statistics
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description In this paper, at first median algebras and the Yang–Baxter equation are studied, some of their properties are presented. After giving some solutions to the set-theoretical Yang–Baxter equation by using these properties, it is found a solution that is not usually a solution to the set-theoretical Yang–Baxter equation in median algebras but it is the solution in Boolean algebras.
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subjects Algebra
Analysis
Applications of Mathematics
Boolean algebra
Geometry
Mathematics
Mathematics and Statistics
title Yang–Baxter equation in median algebras
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