{
  "abstract": "Let n≥2 be fixed, and let Λ be a Lie superalgebra over a commutative ring R. We investigate the structure of the algebra Dern(Λ) of n-derivations. We show that Dern(Λ) is a Z2-graded Lie superalgebra and that its elements preserve n-perfect graded ideals, thereby inducing n-derivations on the corresponding quotients. We obtain a direct-sum decomposition with explicit cross terms and describe n-derivations of split central extensions, including the contributions from maps into the n-center. For perfect centerless Lie superalgebras that are (n−1)-torsion-free, we prove that every n-derivation is an ordinary derivation; consequently, all n-derivations are inner when all ordinary derivations are inner. We also exhibit solvable examples for which Der(Λ) is properly contained in Dern(Λ). These results clarify the roles of the grading, ideals, centers, and split central extensions in the theory of n-derivations.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia",
    "Algebra Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha no. 10, Bandung 40132, Indonesia",
    "Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80348, Jeddah 22254, Saudi Arabia",
    "Department of Mathematics, College of Science, Taibah University, Madinah 42353, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Abu Zaid Ansari",
      "orcid": "0000-0001-6139-7521"
    },
    {
      "affs": [
        1
      ],
      "name": "Mukhtar Ahmad",
      "orcid": "0009-0006-4597-2278"
    },
    {
      "affs": [
        2
      ],
      "name": "Majed Albaity",
      "orcid": "0000-0001-6599-5975"
    },
    {
      "affs": [
        3
      ],
      "name": "Faiza Shujat",
      "orcid": "0000-0001-5537-9837"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1kyhnjkh9t4t.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15110794",
  "fulltext_url": null,
  "id": "b1kyhnjkh9t4t",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/11/794",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7223904978",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/b1kyhnjkh9t4t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15110794",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/11/794"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "n-Derivations of Lie Superalgebras: Structure, Decomposition, and Central Extensions",
  "title_text": "n-Derivations of Lie Superalgebras: Structure, Decomposition, and Central Extensions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/b1kyhnjkh9t4t",
  "venue": "Axioms",
  "versions": []
}