{
  "abstract": "The question of when a syzygy module or a module satisfying a Serre condition satisfies the cohomological vanishing conditions known as higher torsionfreeness has been extensively studied. In this paper, we address these questions using grade conditions introduced and studied by Auslander-Bridger and Auslander-Reiten. We also investigate homological conditions on Ext modules and, as an application, give a partial answer over commutative rings to a question of Auslander-Bridger concerning whether higher reflexive modules are higher torsionfree.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00913",
  "author_total": 1,
  "authors": [
    {
      "name": "Yuya Otake"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4ggf0gjmhn7v7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00913",
  "fulltext_url": null,
  "id": "4ggf0gjmhn7v7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00913",
  "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.AC"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00913",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4ggf0gjmhn7v7.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00913",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00913"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Auslander-type grade conditions and subcategories related to syzygy modules",
  "title_text": "Auslander-type grade conditions and subcategories related to syzygy modules",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/4ggf0gjmhn7v7",
  "venue": "arXiv",
  "versions": []
}