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math.RA2025
Associative Pentagon Algebras
Marzia Mazzotta, Agata Pilitowska
A set-theoretic solution to the Pentagon Equation can be described as a \emph{pentagon} algebra such that is a semigroup and the operations …
math.RA2024
Parametric reflection maps: an algebraic approach
Anastasia Doikou, Marzia Mazzotta, Paola Stefanelli
We study solutions of the parametric set-theoretic reflection equation from an algebraic perspective by employing recently derived generalizations of the familiar shelves and racks…