{
  "abstract": "Let k be a commutative noetherian hereditary ring and let Q be a small, Hom-finite, locally bounded k-linear category admitting a Serre functor and satisfying the strong retraction property, with nilpotent pseudo-radical. For every k-algebra A, we construct a recollement of the Q-shaped homo?topy category KQ(A Inj) of objectwise injective Q-shaped modules by its full subcategory Kac Q (A Inj) of exact objects and the Q-shaped derived category DQ(A). The construction uses complete hereditary cotorsion pairs and does not require A to be noetherian. If A is left noetherian, both KQ(A Inj) and Kac Q (A Inj) are compactly generated by special preenvelopes of finitely generat?ed stalk modules. We identify (Kac Q (A Inj))c with the idempotent completion of (KQ(A Inj))c/LI ((DQ(A))c ), where LI is the fully faithful left adjoint of the localization. This paper builds on and generalizes works of Krause and Liu",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21507",
  "author_total": 2,
  "authors": [
    {
      "name": "Yajun Ma"
    },
    {
      "name": "Peiru Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3q228w2pgdjpm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21507",
  "fulltext_url": null,
  "id": "3q228w2pgdjpm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21507",
  "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"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7222541921",
  "pdf_url": "https://arxiv.org/pdf/2610.21507",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3q228w2pgdjpm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.21507",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21507"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Krause-type recollement for Q-shaped derived categories",
  "title_text": "A Krause-type recollement for Q-shaped derived categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/3q228w2pgdjpm",
  "venue": "arXiv",
  "versions": []
}