{
  "abstract": "Building on recent studies of 0-Auslander categories, we establish a connection between $d$-Auslander extriangulated categories and categories of $(d+2)$-term complexes up to homotopy. We give a precise homological condition under which an algebraic extriangulated category admits an extriangulated ideal quotient equivalent to $\\mathcal{K}^{[-d-1,0]}(\\mathcal{A})$. We then demonstrate that $d$-cluster-tilting subcategories in triangulated categories serve as a key source of $d$-Auslander extriangulated categories. Using these structural results, we answer a question posed by Iyama in the Appendix of arXiv:2509.08246 by proving that $\\mathcal{K}^{[-d-1,0]}(\\mathcal{N})$ admits a triangulated structure when $\\mathcal{N}$ is a weakly idempotent complete algebraic $(d+4)$-angulated category.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.07211",
  "author_total": 1,
  "authors": [
    {
      "name": "Lior Silberberg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dx8z5kpk4s8ex.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.07211",
  "fulltext_url": null,
  "id": "dx8z5kpk4s8ex",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.07211",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7167826558",
  "pdf_url": "https://arxiv.org/pdf/2607.07211",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dx8z5kpk4s8ex.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2607.07211",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.07211"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Extriangulated ideal quotients and $d$-Auslander categories",
  "title_text": "Extriangulated ideal quotients and d-Auslander categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/dx8z5kpk4s8ex",
  "venue": "arXiv",
  "versions": []
}