{
  "abstract": "Generalizing a known result in the context of homological categories, we show that, in a regular protomodular category $\\mathcal{C}$ equipped with a posetal, monocoreflective subcategory whose coreflector inverts monomorphisms, every torsion theory, in a non-pointed sense, satisfying suitable properties gives rise to a torsion theory in the category $\\operatorname{Arr}(\\mathcal{C})$ of arrows in $\\mathcal{C}$. Moreover, we show that the induced torsion theory in $\\operatorname{Arr}(\\mathcal{C})$ satisfies the same good properties of the original one in $\\mathcal{C}$, allowing to iterate the process. Examples of this situation can be found in protomodular varieties of universal algebras with more than one constant or in duals of elementary toposes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37956",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrea Cappelletti"
    },
    {
      "name": "Andrea Montoli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fezvv43tbzx3a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37956",
  "fulltext_url": null,
  "id": "fezvv43tbzx3a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37956",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.37956",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fezvv43tbzx3a.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.37956",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37956"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Torsion Theories in a non-pointed Context II: iterated torsion theories",
  "title_text": "Torsion Theories in a non-pointed Context II: iterated torsion theories",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/fezvv43tbzx3a",
  "venue": "arXiv",
  "versions": []
}