{
  "abstract": "An affinization of the notion of a Poisson algebra is presented. This is termed a Poisson affgebra and consists of an affine space together with an associative bi-affine multiplication and a bi-affine Lie bracket that acts as an affine derivation for the associative product. The constructive relation between Poisson affgebras and Poisson algebras is described and several low-dimensional examples are studied in detail.",
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  "article_type": null,
  "arxiv": "2607.17860",
  "author_total": 3,
  "authors": [
    {
      "name": "Tomasz Brzeziński"
    },
    {
      "name": "Krzysztof Radziszewski"
    },
    {
      "name": "Brais Ramos Pérez"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a68fktzxcgax5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.17860",
  "fulltext_url": null,
  "id": "a68fktzxcgax5",
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  "landing_url": "https://arxiv.org/abs/2607.17860",
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.QA"
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      "2602|Advanced Topics in Algebra"
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  "pdf_url": "https://arxiv.org/pdf/2607.17860",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a68fktzxcgax5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2607.17860",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.17860"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
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  "title": "Affinization of algebraic structures: Poisson algebras",
  "title_text": "Affinization of algebraic structures: Poisson algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/a68fktzxcgax5",
  "venue": "arXiv",
  "versions": []
}