{
  "abstract": "Assuming the nonexistence of uncountable measurable cardinals, we construct an $\\mathbb F_2$-algebra and a covering class of right modules which is not closed under colimits of countable chains. This gives a counterexample to Enochs' conjecture under $V=L$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25495",
  "author_total": 1,
  "authors": [
    {
      "name": "Chencheng Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7y23q2e7nkdfp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25495",
  "fulltext_url": null,
  "id": "7y23q2e7nkdfp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25495",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.LO"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7214082395",
  "pdf_url": "https://arxiv.org/pdf/2609.25495",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7y23q2e7nkdfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25495",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25495"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.LO",
      "subfield": "logic-foundations"
    }
  ],
  "title": "A counterexample to Enochs' conjecture under $V=L$",
  "title_text": "A counterexample to Enochs' conjecture under V=L",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/7y23q2e7nkdfp",
  "venue": "arXiv",
  "versions": []
}