{
  "abstract": "This paper characterizes Cohen-Macaulay algebras in the sense of Auslander and Reiten [Progr. Math. 95(1991)] within the following two classes of finite dimensional algebras: (i) truncated path algebras and (ii) Nakayama algebras. For the former, our characterization in terms of ordinary quivers shows that if a Cohen-Macaulay truncated path algebra $Λ$ is connected, then $Λ$ or $D(Λ)$ gives a dualizing module, where $D$ denotes the standard duality. For the latter, we show that every Cohen-Macaulay Nakayama algebra $Λ$ is Iwanaga-Gorenstein. In particular, $Λ$ always gives a dualizing module. Consequently, there is no non-trivial Cohen-Macaulay algebra among truncated path and Nakayama algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15386",
  "author_total": 2,
  "authors": [
    {
      "name": "Takahiro Honma"
    },
    {
      "name": "Satoshi Usui"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7nmxh5pf7c1jb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15386",
  "fulltext_url": null,
  "id": "7nmxh5pf7c1jb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15386",
  "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.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7221815471",
  "pdf_url": "https://arxiv.org/pdf/2610.15386",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7nmxh5pf7c1jb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15386",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15386"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Cohen-Macaulay truncated path and Nakayama algebras",
  "title_text": "Cohen-Macaulay truncated path and Nakayama algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/7nmxh5pf7c1jb",
  "venue": "arXiv",
  "versions": []
}