{
  "abstract": "In this paper, we introduce and establish the concept of a central test set for free nilpotent Lie algebras. We prove that the central test rank of a free nilpotent Lie algebra Lc,2 of rank 2 and nilpotency class c = 3 equals 3. Furthermore, we show that a minimal central test set of L3,2 belongs to the lower-degree bracket structures and is explicitly given by the set 𝒯 = {[x,y], [[x,y],x], [x,y],y}. We also analyze higher nilpotency classes c ≥ 4 and delineate the degree conditions under which elements effectively eliminate non-central derivations.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Arts and Sciences, Gaziantep University, 27310 Gaziantep, Türkiye"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Özge Öztekin",
      "orcid": "0000-0001-7421-5600"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/54srpj41fbdb7.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203771",
  "fulltext_url": null,
  "id": "54srpj41fbdb7",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3771",
  "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": "W7222943606",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/54srpj41fbdb7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203771",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3771"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2602|Advanced Topics in Algebra",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Central Test Set and Central Test Rank of Free Nilpotent Lie Algebras of Rank 2",
  "title_text": "Central Test Set and Central Test Rank of Free Nilpotent Lie Algebras of Rank 2",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/54srpj41fbdb7",
  "venue": "Mathematics",
  "versions": []
}