{
  "abstract": "Let $RG$ be the group ring of an arbitrary group $G$ over an associative and commutative ring $R$ with identity. In this paper, we provide necessary and sufficient conditions for $RG$ to be Jordan nilpotent of index $n \\geq 2$. In particular, we establish a connection between the study of Jordan nilpotency in group rings and the study of Lie nilpotency in these algebras. We also classify the Jordan nilpotency of $RG$, over rings of arbitrary characteristic, up to the index $6$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06587",
  "author_total": 3,
  "authors": [
    {
      "name": "Osnel B. Cristo"
    },
    {
      "name": "Mariana G. Cornelissen"
    },
    {
      "name": "Rodrigo L. Rodrigues"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3fahs10b7kmcq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06587",
  "fulltext_url": null,
  "id": "3fahs10b7kmcq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06587",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06587",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3fahs10b7kmcq.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06587",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06587"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On Jordan nilpotency of index n in group rings",
  "title_text": "On Jordan nilpotency of index n in group rings",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/3fahs10b7kmcq",
  "venue": "arXiv",
  "versions": []
}