{
  "abstract": "We give a counterexample to completeness descent from ideal cotorsion pairs to their objects. A radical-square-zero algebra on the two-cycle gives a finite-dimensional example. The construction is intrinsically non-weakly-idempotent-complete.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14382",
  "author_total": 3,
  "authors": [
    {
      "name": "Qikai Wang"
    },
    {
      "name": "Yuxiao Wang"
    },
    {
      "name": "Haiyan Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0q4s7p3d6p70k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14382",
  "fulltext_url": null,
  "id": "0q4s7p3d6p70k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14382",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7213341512",
  "pdf_url": "https://arxiv.org/pdf/2609.14382",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0q4s7p3d6p70k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.14382",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14382"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A Counterexample to the Open Question on Object Ideals",
  "title_text": "A Counterexample to the Open Question on Object Ideals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/0q4s7p3d6p70k",
  "venue": "arXiv",
  "versions": []
}