{
  "abstract": "The derived delooping level is a recently introduced homological invariant that provides an upper bound for the finitistic dimension of the opposite algebra. In this paper, we employ two reduction techniques-cleft extensions and recollements-to study the finiteness of the derived delooping level of finite-dimensional algebras over a field. By applying the theory of cleft extensions to bound quiver algebras, we establish arrow-removal operations that preserve the finiteness of the derived delooping level. In parallel, using recollement techniques, we develop vertex-removal operations with the same finiteness-preserving property. We conclude with several examples illustrating the applicability and effectiveness of these reduction methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16957",
  "author_total": 4,
  "authors": [
    {
      "name": "Kaili Wu"
    },
    {
      "name": "Jiaqun Wei"
    },
    {
      "name": "Dajun Liu"
    },
    {
      "name": "Weiqing Cao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6kn87dve8cbt9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16957",
  "fulltext_url": null,
  "id": "6kn87dve8cbt9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16957",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7213432831",
  "pdf_url": "https://arxiv.org/pdf/2609.16957",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6kn87dve8cbt9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16957",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16957"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Reduction techniques for the derived delooping levels",
  "title_text": "Reduction techniques for the derived delooping levels",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/6kn87dve8cbt9",
  "venue": "arXiv",
  "versions": []
}