Preprint Communication Version 1 Preserved in Portico This version is not peer-reviewed

Perspectives on the Yang-Baxter Equation in Bck-Algebras

Version 1 : Received: 18 February 2021 / Approved: 18 February 2021 / Online: 18 February 2021 (17:26:17 CET)

How to cite: Nichita, F.; Oner, T.; KALKAN, T.; Senturk, I.; Terziler, M. Perspectives on the Yang-Baxter Equation in Bck-Algebras. Preprints 2021, 2021020425 (doi: 10.20944/preprints202102.0425.v1). Nichita, F.; Oner, T.; KALKAN, T.; Senturk, I.; Terziler, M. Perspectives on the Yang-Baxter Equation in Bck-Algebras. Preprints 2021, 2021020425 (doi: 10.20944/preprints202102.0425.v1).

Abstract

We present set-theoretical solutions of the Yang-Baxter equation in BCK–algebras. Some solutions in BCK−algebras are not solutions in other structures (such as MV −algebras). Related to our investigations we also consider some new structures: Boolean coalgebras and a unified braid condition – quantum Yang-Baxter equation. Finally, we will see how poetry has accompanied the development / history of the Yang–Baxter equation.

Keywords

BCK-algebras; Yang-Baxter Equation; Quasi-negation operator; Boolean coalgebras; poetry

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.