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

Axioms

Tahsin Oner¹  Ibrahim Senturk¹  Gulsah Oner² 

[1] Department of Mathematics, Ege University, İzmir 35100, Turkey;Multidisciplinary Vocational School Technical Programme, Dokuz Eylul University, İzmir 35210, Turkey;

关键词: MV-algebras;    equivalence of set of axioms;    independence;    Yang–Baxter equation;   

DOI  :  10.3390/axioms6030017

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown