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arXiv · 2607.25165

Hyperstructures as complete atomic Boolean algebras

Ariel E. Rosenfield
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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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Ariel E. Rosenfield. 2026-07-28. Hyperstructures as complete atomic Boolean algebras. https://arxiv.org/abs/2607.25165

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