10 citations · 10 across the 2 of their papers we have counts for
Showing math.QAShow all
3 papers · 1 filter
math.QA2023
Płonka bi-magmas and the set-theoretic Yang--Baxter equation
A. L. Agore, A. Chirvasitu, G. Militaru
We introduce a new variety of non-associative algebras, called \emph{Płonka bi-magmas}, and use them to construct novel solutions to the set-theoretic Yang-Baxter (YB) equation. We…
math.QA2023
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.QA2012
The uniqueness of braidings on the monoidal category of non-commutative descent data
A. L. Agore, S. Caenepeel, G. Militaru
Let be an algebra over a commutative ring . It is known that the categories of non-commutative descent data, of comodules over the Sweedler canonical coring, of right -mo…