{
  "abstract": "We prove that an Artin algebra has finite representation type if its indecomposable finitely generated modules are determined, up to isomorphism, by their composition factors. This gives an affirmative answer to the conjecture on composition factors and finite representation type recorded by Auslander, Reiten and Smalo.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38813",
  "author_total": 4,
  "authors": [
    {
      "name": "Liang Chen"
    },
    {
      "name": "Zhenxian Chen"
    },
    {
      "name": "Yongyi Wen"
    },
    {
      "name": "Weiheng Xia"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6cajf7x952cbr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38813",
  "fulltext_url": null,
  "id": "6cajf7x952cbr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38813",
  "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/2610.38813",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6cajf7x952cbr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38813",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38813"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Composition factors and finite representation type",
  "title_text": "Composition factors and finite representation type",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6cajf7x952cbr",
  "venue": "arXiv",
  "versions": []
}