33 citations · 238 across the 41 of their papers we have counts for
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Płonka bi-magmas and the set-theoretic Yang--Baxter equation
A. L. Agore, A. Chirvasitu, G. Militaru
We introduce a new variety of universal algebras with two binary operations, called \emph{Płonka bi-magmas}, and use them to construct novel solutions to the set-theoretic Yang-Bax…
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…
Universal constructions for Poisson algebras. Applications
A. L. Agore, G. Militaru
We introduce the \emph{universal algebra} of two Poisson algebras and as a commutative algebra satisfying a certain universal property. The uni…
Functors between representation categories. Universal modules
A. L. Agore
Let and be two Lie algebras with finite dimensional and consider to be th…