{
  "abstract": "${T}_n$-Heyting algebras form a subvariety of Heyting algebras and are characterized by the property that a chain of prime filters in such an algebra has at most $n-1$ elements. We study some basic properties of these algebras and determine the structure and number of elements of the free ${T}_n$-Heyting algebra with a finite number $r$ of free generators, $FT_n(r)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07915",
  "author_total": 5,
  "authors": [
    {
      "name": "Juan Manuel Cornejo"
    },
    {
      "name": "Andrés Gallardo"
    },
    {
      "name": "Paula Helt"
    },
    {
      "name": "Luiz Monteiro"
    },
    {
      "name": "Ignacio Viglizzo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1xs87mfqaw5bt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07915",
  "fulltext_url": null,
  "id": "1xs87mfqaw5bt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07915",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07915",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1xs87mfqaw5bt.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07915",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07915"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "Free $T_n$-Heyting algebras",
  "title_text": "Free T_n-Heyting algebras",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/1xs87mfqaw5bt",
  "venue": "arXiv",
  "versions": []
}