{
  "abstract": "Let $R$ be a unital commutative ring and $X$ a partially ordered set. Let $FI(X,R)$ and $I(X,R)$ be the finitary incidence algebra and the incidence module of $X$ over $R$, respectively, and let $D(X,R)=FI(X,R)\\oplus I(X,R)$ be the idealization of the $FI(X,R)$-bimodule $I(X,R)$. We give a description of the Lie algebra of derivations of $D(X,R)$ and also provide some necessary or sufficient conditions on $R$ and $X$ for the description of this Lie algebra to be simpler.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24120",
  "author_total": 2,
  "authors": [
    {
      "name": "Érica Zancanella Fornaroli"
    },
    {
      "name": "Roger Emanuel Moraes Pezzott"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0f1xv11dregra.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24120",
  "fulltext_url": null,
  "id": "0f1xv11dregra",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24120",
  "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.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7222995324",
  "pdf_url": "https://arxiv.org/pdf/2610.24120",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0f1xv11dregra.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24120",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24120"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Derivations of the idealization of the incidence module over the finitary incidence algebra",
  "title_text": "Derivations of the idealization of the incidence module over the finitary incidence algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/0f1xv11dregra",
  "venue": "arXiv",
  "versions": []
}