An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem. In conclusion, we construct a new set-theoretical solution for the Yang–Baxter equation by using MV-algebras.

Bibliographic Details
Main Authors: Tahsin Oner, Ibrahim Senturk, Gulsah Oner
Format: Article
Language:English
Published: MDPI AG 2017-06-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/6/3/17