{
  "abstract": "We prove that a finite-dimensional connected monomial algebra over an algebraically closed field is derived tame if and only if every finite connected convex subcategory of its universal cover has non-negative Euler form. Derived tameness is also equivalent to tameness of its repetitive category and trivial extension. For one-cycle algebras, this condition is equivalent to the non-negativity on $\\mathbb R$ of $|Q_0|$ explicitly computable polynomials in $\\mathbb Q[t]$. This gives a finite algorithm for deciding derived tameness. We also construct an infinite family of derived-tame one-cycle string algebras with minimal cubic relations, no two of which are derived equivalent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41759",
  "author_total": 2,
  "authors": [
    {
      "name": "Marlon Pimenta Fonseca"
    },
    {
      "name": "Zheng Xin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c1wx48gz1d7v2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41759",
  "fulltext_url": null,
  "id": "c1wx48gz1d7v2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41759",
  "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.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41759",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c1wx48gz1d7v2.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41759",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41759"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Derived tame monomial algebras",
  "title_text": "Derived tame monomial algebras",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/c1wx48gz1d7v2",
  "venue": "arXiv",
  "versions": []
}