{
  "abstract": "We generalize the silting theorem of Buan and Zhou to extended module categories. For a $(d+1)$-term silting object $\\mathbf{P}$ over a proper $d$-truncated non-positive dg algebra $A$, we construct a $(d+1)$-term silting object $\\mathbf{Q}$ over the $d$-truncated dg endomorphism algebra $B$ of $\\mathbf{P}$. The $s$-torsion pairs induced by $\\mathbf{P}$ and $\\mathbf{Q}$ yield equivalences of Brenner-Butler type between the torsion class on either side and the torsion-free class on the other. There is also a dg algebra homomorphism from $A$ to the $d$-truncated dg endomorphism algebra of $\\mathbf{Q}$, which is a quasi-isomorphism if and only if $\\operatorname{Hom}(\\mathbf{P},\\mathbf{P}[i])=0$ for all $i\\leq-d$. Moreover, we describe Auslander-Reiten theory in ${d\\text{-}\\operatorname{mod}\\!B}$ in terms of that in ${d\\text{-}\\operatorname{mod}\\!A}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.10849",
  "author_total": 2,
  "authors": [
    {
      "name": "Chenhui Liu"
    },
    {
      "name": "Yu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ytjf4rgj3tzm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.10849",
  "fulltext_url": null,
  "id": "7ytjf4rgj3tzm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.10849",
  "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.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.10849",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ytjf4rgj3tzm.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:33Z",
      "native_id": "2611.10849",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.10849"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A silting theorem for extended module categories",
  "title_text": "A silting theorem for extended module categories",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:33Z",
  "url": "https://research.draconitic.com/paper/7ytjf4rgj3tzm",
  "venue": "arXiv",
  "versions": []
}