category theory 1plonka bi-magmas 1set-theoretic solutions 1universal algebra 1yang-baxter equation 1
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math.QA2026★ 1 cited
PÅonka bi-magmas and the set-theoretic Yang--Baxter equation
A. L. Agore, A. Chirvasitu, G. Militaru
The paper introduces Plonka bi‑magmas, a new class of non‑associative algebras, to describe and classify set‑theoretic solutions of the Yang‑Baxter equation of Baaj‑Long‑Skandalis…
math.QA2025
The set-theoretic Yang-Baxter equation, Kimura semigroups and functional graphs
A. L. Agore, A. Chirvasitu, G. Militaru
We prove that the category of solutions of the set-theoretic Yang-Baxter equation of Frobenius-Separability (FS) type is equivalent to the category of pointed Kimura semigroups. As…