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PreprintarXiv licencearXiv

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) and atom-preserving morphisms.

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Cite

BibTeXRIS
BibTeX
@misc{rosenfield2026hyperstructures,
  title = {{Hyperstructures as complete atomic Boolean algebras}},
  author = {Ariel E. Rosenfield},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.25165},
  eprint = {2607.25165},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.25165},
}
RIS
TY  - UNPB
TI  - Hyperstructures as complete atomic Boolean algebras
AU  - Ariel E. Rosenfield
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.25165
UR  - https://arxiv.org/abs/2607.25165
AB  - 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) and atom-preserving morphisms.
ER  -