Yang-Baxter equation in median algebras


ÖNER T. , Katican T., Saeid A. B.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s12215-020-00486-6
  • Dergi Adı: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO

Özet

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.