{
  "abstract": "In this paper, we study local superderivations and local anti-superderivations of finite-dimensional nilpotent Lie superalgebras over a field $\\mathbb F$ with $\\operatorname{char}\\mathbb F\\neq2$. First, we prove that every finite-dimensional two-step nilpotent Lie superalgebra admits pure local superderivations and pure local anti-superderivations (namely, local (anti-)superderivations that are not (anti-)superderivations). For nilpotent Lie superalgebras of nilpotency index greater than two, we establish sufficient conditions for the existence of pure local superderivations and pure local anti-superderivations. In particular, we prove that every three-step nilpotent Lie superalgebra admits a pure local superderivation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.00393",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiaohui Chi"
    },
    {
      "name": "Huiyi Zhang"
    },
    {
      "name": "Lingxin Meng"
    },
    {
      "name": "Liming Tang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/azr7en1n0gk89.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.00393",
  "fulltext_url": null,
  "id": "azr7en1n0gk89",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.00393",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7167017355",
  "pdf_url": "https://arxiv.org/pdf/2607.00393",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/azr7en1n0gk89.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2607.00393",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.00393"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Local (Anti-)Superderivations on Nilpotent Lie Superalgebras",
  "title_text": "Local (Anti-)Superderivations on Nilpotent Lie Superalgebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:58Z",
  "url": "https://research.draconitic.com/paper/azr7en1n0gk89",
  "venue": "arXiv",
  "versions": []
}