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Axioms 2017, 6(3), 17; doi:10.3390/axioms6030017

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

1
Department of Mathematics, Ege University, İzmir 35100, Turkey
2
Multidisciplinary Vocational School Technical Programme, Dokuz Eylul University, İzmir 35210, Turkey
*
Author to whom correspondence should be addressed.
Academic Editor: Florin Felix Nichita
Received: 3 May 2017 / Revised: 18 June 2017 / Accepted: 20 June 2017 / Published: 22 June 2017
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang–Baxter Equations 2017)
View Full-Text   |   Download PDF [707 KB, uploaded 22 June 2017]

Abstract

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. View Full-Text
Keywords: MV-algebras; equivalence of set of axioms; independence; Yang–Baxter equation MV-algebras; equivalence of set of axioms; independence; Yang–Baxter equation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Oner, T.; Senturk, I.; Oner, G. An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation. Axioms 2017, 6, 17.

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