{
  "abstract": "Derivations are a well-known concept in the theory of Lie algebras. Here we investigate them for Lie $p$-rings. We show how they apply in the construction of cyclic extensions and in computational methods; in particular, we demonstrate that a consistency test for Lie $p$-presentations can be facilitated using derivations. The consistency test generalizes inspecific cases to parametrised Lie $p$-presentations and, further, to the construction of Lie $p$-covers. These provide a first building block towards a symbolic Lie $p$-ring generation algorithm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23370",
  "author_total": 2,
  "authors": [
    {
      "name": "Bettina Eick"
    },
    {
      "name": "Renu Joshi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/byq023cvjj7v5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23370",
  "fulltext_url": null,
  "id": "byq023cvjj7v5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23370",
  "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.GR"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7222930927",
  "pdf_url": "https://arxiv.org/pdf/2610.23370",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/byq023cvjj7v5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23370",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23370"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Derivations of Lie $p$-rings with applications on ring extensions and computational methods",
  "title_text": "Derivations of Lie p-rings with applications on ring extensions and computational methods",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/byq023cvjj7v5",
  "venue": "arXiv",
  "versions": []
}