Perspectives on the Yang-Baxter Equation in Bck-Algebras

Diğer yayınlar > Diğer · 2021

Yazarlar: Florin Nichita, Tahsin ÖNER, Tugce KALKAN, İbrahim ŞENTÜRK, Mehmet Terziler

Diğer, Uluslararası, 2021,

Özet

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.

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