Yang–Baxter equation in median algebras
Articles > Article · 2020
Authors: Tahsin ÖNER, Tugce Katican, Arsham Borumand Saeid
Rendiconti del Circolo Matematico di Palermo Series 2, Journal Indexed in AHCI, International, Scopus, 2020, vol 70, pp 79-95
DOI: 10.1007/s12215-020-00486-6
Summary
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.