{
  "abstract": "Using Mac Lane's PROPs, one can introduce multilinear polynomial identities that involve all the operations of a Hopf algebra: the (co)multiplication, the (co)unit and the antipode. We find bases for polynomial identities and calculate their codimensions for the Sweedler algebra, treating it first as an ordinary associative algebra over a field and second as a Hopf algebra.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05187",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexey Gordienko"
    },
    {
      "name": "Maria Morozova"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8v02w60gygx5y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05187",
  "fulltext_url": null,
  "id": "8v02w60gygx5y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05187",
  "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.QA"
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      "arxiv",
      "math.RA"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05187",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8v02w60gygx5y.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05187",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05187"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Hopf algebra polynomial identities in the Sweedler algebra",
  "title_text": "Hopf algebra polynomial identities in the Sweedler algebra",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:46Z",
  "url": "https://research.draconitic.com/paper/8v02w60gygx5y",
  "venue": "arXiv",
  "versions": []
}