Yang–Baxter equation in median algebras

2-s2.0-85079443550In 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. © 2020, Springer-Verlag Italia S.r.l., part of Springer Nature