{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.25165",
  "author_total": 1,
  "authors": [
    {
      "name": "Ariel E. Rosenfield"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ee4bmpwyhhjn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.25165",
  "fulltext_url": null,
  "id": "2ee4bmpwyhhjn",
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  "landing_url": "https://arxiv.org/abs/2607.25165",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
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      "arxiv",
      "math.RA"
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    [
      "openalex",
      "1703|Advanced Algebra and Logic"
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  "openalex": "W7171733825",
  "pdf_url": "https://arxiv.org/pdf/2607.25165",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ee4bmpwyhhjn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2607.25165",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.25165"
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  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hyperstructures as complete atomic Boolean algebras",
  "title_text": "Hyperstructures as complete atomic Boolean algebras",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/2ee4bmpwyhhjn",
  "venue": "arXiv",
  "versions": []
}