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…
math.RA2024
Functors between representation categories. Universal modules
A. L. Agore
Let and be two Lie algebras with finite dimensional and consider to be th…