{
  "abstract": "Over an algebraically closed field of characteristic $p>0$, we classify all matched pairs between a generalized Taft algebra $T_{N,n,ξ}$ and the Radford algebra $R$. If $p\\nmid N$, every matched pair is trivial, and the corresponding bicrossed product is the tensor product Hopf algebra. If $p\\mid N$, matched pairs are parametrized by $β\\in\\mathbb F_p$, and the bicrossed products are described by explicit cross relations. Two such bicrossed products are isomorphic as Hopf algebras if and only if their parameters are equal; hence there are exactly $p$ isomorphism classes in this case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29536",
  "author_total": 1,
  "authors": [
    {
      "name": "Rongchuan Xiong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/as8sqtnge4djx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29536",
  "fulltext_url": null,
  "id": "as8sqtnge4djx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29536",
  "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.QA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7204884697",
  "pdf_url": "https://arxiv.org/pdf/2608.29536",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/as8sqtnge4djx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29536",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29536"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Bicrossed products of generalized Taft algebras and Radford algebras",
  "title_text": "Bicrossed products of generalized Taft algebras and Radford algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/as8sqtnge4djx",
  "venue": "arXiv",
  "versions": []
}