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Axioms 2018, 7(1), 6; doi:10.3390/axioms7010006

On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras

Department of Mathematics, Ege University, 35100 Izmir, Turkey
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Author to whom correspondence should be addressed.
Received: 26 October 2017 / Revised: 10 January 2018 / Accepted: 17 January 2018 / Published: 20 January 2018
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang–Baxter Equations 2017)
View Full-Text   |   Download PDF [215 KB, uploaded 20 January 2018]

Abstract

In this work, we introduce Wajsberg algebras which are equivalent structures to MV-algebras in their implicational version, and then we define new notions and give new solutions to the set-theoretical Yang-Baxter equation by using Wajsberg algebras. View Full-Text
Keywords: Yang-Baxter equation; Wajsberg-algebra Yang-Baxter equation; Wajsberg-algebra
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.; Katican, T. On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras. Axioms 2018, 7, 6.

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