Next Article in Journal
Cubic Interval-Valued Intuitionistic Fuzzy Sets and Their Application in BCK/BCI-Algebras
Next Article in Special Issue
On Transcendental Numbers: New Results and a Little History
Previous Article in Journal
Rough Neutrosophic Digraphs with Application
Previous Article in Special Issue
Universal Enveloping Commutative Rota–Baxter Algebras of Pre- and Post-Commutative Algebras
Open AccessArticle

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

Department of Mathematics, Ege University, 35100 Izmir, Turkey
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)
PDF [215 KB, uploaded 20 January 2018]


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).

Share & Cite This Article

MDPI and ACS Style

Oner, T.; Katican, T. On Solutions to the Set-Theoretical Yang-Baxter Equation in Wajsberg-Algebras. Axioms 2018, 7, 6.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top