{
  "abstract": "Let $(\\mathcal{C},\\mathbb{E},\\mathfrak{s})$ be an extriangulated category with a right Auslander-Reiten-Serre (ARS for short) duality $(τ, η)$ in the sense of Iyama, Nakaoka and Palu. We show $(τ, η)$ induces right ARS dualities on the relative theories of $(\\mathcal{C},\\mathbb{E},\\mathfrak{s})$. Under relative structures, we show that the functor $τ$ is indeed an exact functor between extriangulated categories and preserves almost split exangles. Finally, we give some applications and examples on these results. For instance, we generalize a recent result by A. Hubery to a categorical framework.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29584",
  "author_total": 2,
  "authors": [
    {
      "name": "Ji-Wei He"
    },
    {
      "name": "Jixing Pan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1pwmfp8x62m9p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29584",
  "fulltext_url": null,
  "id": "1pwmfp8x62m9p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29584",
  "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.CT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7204902579",
  "pdf_url": "https://arxiv.org/pdf/2608.29584",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1pwmfp8x62m9p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29584",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29584"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Auslander-Reiten-Serre duality revisited",
  "title_text": "Auslander-Reiten-Serre duality revisited",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/1pwmfp8x62m9p",
  "venue": "arXiv",
  "versions": []
}