{
  "abstract": "This paper provides a deeper analysis of Rump's correspondence between near-rings and skew braces. We show that, under a topological assumption on the structure of a near-ring, Rump's correspondence is invertible and it is always possible to construct an associated skew brace. Furthermore, we provide several examples where this topological assumption is fulfilled in well-known algebraic structures such as the Nottingham group, groups of triangular functions, iterated wreath products of arbitrary groups, and groups of IA-automorphisms of free nilpotent groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.04874",
  "author_total": 4,
  "authors": [
    {
      "name": "Riccardo Aragona"
    },
    {
      "name": "Norberto Gavioli"
    },
    {
      "name": "Martina Iannaccone"
    },
    {
      "name": "Giuseppe Nozzi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/evk5pb31j61za.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.04874",
  "fulltext_url": null,
  "id": "evk5pb31j61za",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.04874",
  "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"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "openalex",
      "2602|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7196981700",
  "pdf_url": "https://arxiv.org/pdf/2608.04874",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/evk5pb31j61za.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2608.04874",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.04874"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Near-Rings and Skew Braces",
  "title_text": "Near-Rings and Skew Braces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/evk5pb31j61za",
  "venue": "arXiv",
  "versions": []
}