{
  "abstract": "For ultrafilters u,v on N, the operation u/v is introduced and formalised which acts as quotient-like structures when v strongly divides u.Central to our study is the characterization of self-divisible ultrafilters in connection with the divisibility of u by u/v.Some results on the algebraic stability of multiplicative udempotents are presented.The paper also connects the combinatorial notions such as multiplicative delta sets,provoding characterization via self-divisible ultrafilters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.09010",
  "author_total": 2,
  "authors": [
    {
      "name": "Manoranjan Singha"
    },
    {
      "name": "Rohan Pradhan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/94xf153bsfyt5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.09010",
  "fulltext_url": null,
  "id": "94xf153bsfyt5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.09010",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GN"
    ],
    [
      "arxiv",
      "math.LO"
    ],
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      "openalex",
      "2608|Advanced Topology and Set Theory"
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  ],
  "openalex": "W7160944841",
  "pdf_url": "https://arxiv.org/pdf/2605.09010",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/94xf153bsfyt5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2605.09010",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.09010"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GN",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Quotient structure of ultrafilters",
  "title_text": "Quotient structure of ultrafilters",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/94xf153bsfyt5",
  "venue": "arXiv",
  "versions": []
}