{
  "abstract": "In this paper, using the equivalence of two extensions, we obtain an improved upper bound for the perturbation index, improving the bounds of Quy and N. V. Trung.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26728",
  "author_total": 1,
  "authors": [
    {
      "name": "Ton That Quoc Tan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bbz2k0f8t2xng.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26728",
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  "id": "bbz2k0f8t2xng",
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  "landing_url": "https://arxiv.org/abs/2609.26728",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
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      "openalex",
      "2602|Rings, Modules, and Algebras"
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  "openalex": "W7214113843",
  "pdf_url": "https://arxiv.org/pdf/2609.26728",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
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  "ris": "https://research.draconitic.com/paper/bbz2k0f8t2xng.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2609.26728",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26728"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Equivalence of Extensions and the Perturbation Index",
  "title_text": "Equivalence of Extensions and the Perturbation Index",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/bbz2k0f8t2xng",
  "venue": "arXiv",
  "versions": []
}