Preprint
Communication

Perspectives on the Yang-Baxter Equation in Bck-Algebras

This version is not peer-reviewed.

Submitted:

18 February 2021

Posted:

18 February 2021

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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
Subject: 
Computer Science and Mathematics  -   Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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