{
  "abstract": "By introducing the notion of stable compatibility, we provide a framework in the model category theory which addresses the existence of a stable model structure on the category of modules over a monad. Exact version of such monads have been studied in the setting of triangulated categories, separately as separable monads a la Balmer in tensor triangular geometry and non-separable monads a la Dell'Ambrogio and Sanders in stable homotopy theory. By introducing stable compatibility, we explore their properties together and produce a non-separable monad in Algebraic geometry and more.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00813",
  "author_total": 2,
  "authors": [
    {
      "name": "Kunal Arora"
    },
    {
      "name": "Vivek Mohan Mallick"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/59rj0zy3cpb2a.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00813",
  "fulltext_url": null,
  "id": "59rj0zy3cpb2a",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00813",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.CT"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00813",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/59rj0zy3cpb2a.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00813",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Stable compatibility for model categories",
  "title_text": "Stable compatibility for model categories",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/59rj0zy3cpb2a",
  "venue": "arXiv",
  "versions": []
}