{
  "abstract": "We show that weak polynomial completeness does not imply almost polynomial completeness by constructing an explicit extension of domains \\(D\\subseteq A\\) such that \\(\\Int(D)\\subseteq\\Int(A)\\) but \\(\\Int(D^2)\\nsubseteq\\Int(A^2)\\).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05891",
  "author_total": 2,
  "authors": [
    {
      "name": "Viet-Hoang Tran"
    },
    {
      "name": "Tan N. Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dvb7b85fm7rd4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05891",
  "fulltext_url": null,
  "id": "dvb7b85fm7rd4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05891",
  "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.AC"
    ],
    [
      "openalex",
      "2608|Advanced Topology and Set Theory"
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  ],
  "openalex": "W7212008252",
  "pdf_url": "https://arxiv.org/pdf/2609.05891",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dvb7b85fm7rd4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.05891",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05891"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Weak Polynomial Completeness Does Not Imply Almost Polynomial Completeness",
  "title_text": "Weak Polynomial Completeness Does Not Imply Almost Polynomial Completeness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/dvb7b85fm7rd4",
  "venue": "arXiv",
  "versions": []
}