{
  "abstract": "We give a simple proof for the existence of weak central polynomials for the algebra of multiplications of a finite-dimensional simple (non-associative) algebra. As an example we present explicit weak central polynomials in the cases of the three-dimensional simple Lie algebra and the Jordan algebra of the two-dimensional vector space with non-degenerate symmetric bilinear form.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.10362",
  "author_total": 2,
  "authors": [
    {
      "name": "Vesselin Drensky"
    },
    {
      "name": "Mikhail Zaicev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ffrpp4fc0jsvb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.10362",
  "fulltext_url": null,
  "id": "ffrpp4fc0jsvb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.10362",
  "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.RA"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7212167995",
  "pdf_url": "https://arxiv.org/pdf/2609.10362",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ffrpp4fc0jsvb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:16Z",
      "native_id": "2609.10362",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.10362"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Weak central polynomials for algebras of multiplications of simple algebras",
  "title_text": "Weak central polynomials for algebras of multiplications of simple algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:16Z",
  "url": "https://research.draconitic.com/paper/ffrpp4fc0jsvb",
  "venue": "arXiv",
  "versions": []
}