{
  "abstract": "This paper is the third in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices of size $n\\times k$ with entries belonging to an arbitrary ground field which is large enough. In this part we study the remaining case where $k = 3$ and $n \\ge k + 2 = 5$ and prove that every linear map preserving the Cullis' determinant admits the same description as for the case where $k \\ge 4$ and $n \\ge k + 2$ obtained previously.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Special Matrices, vol. 14, no. 1, 2026, pp. 20250053",
  "arxiv": "2611.01242",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander Guterman"
    },
    {
      "name": "Andrey Yurkov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7c46n5vj9js61.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01242",
  "fulltext_url": null,
  "id": "7c46n5vj9js61",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01242",
  "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.FA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01242",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7c46n5vj9js61.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01242",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01242"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Linear maps preserving the Cullis' determinant. III",
  "title_text": "Linear maps preserving the Cullis' determinant. III",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/7c46n5vj9js61",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1515/spma-2025-0053",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}