Hyperstructures as complete atomic Boolean algebras
Category Theory
2026-07-28 v1 Rings and Algebras
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).
Cite
@article{arxiv.2607.25165,
title = {Hyperstructures as complete atomic Boolean algebras},
author = {Ariel E. Rosenfield},
journal= {arXiv preprint arXiv:2607.25165},
year = {2026}
}