Hyperstructures as complete atomic Boolean algebras

2026/07/28 by Ariel E. Rosenfield
Mathematics · #math.CT #math.RA

paper · pdf

Abstract

We show that several categories of hyperstructures, including the mosaics of Nakamura and Reyes and the hypergroups of Marty, are realizable as categories of objects with extra structure within the category of complete atomic Boolean algebras (CABAs).

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• Finite Atomized Semilattices
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