Communication
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Perspectives on the Yang-Baxter Equation in Bck-Algebras
Florin Nichita
Tahsin Oner
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
Copyright: 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.
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