{
  "abstract": "We study associative algebras endowed with a trace map. We classify the two-dimensional trace-prime algebras over an arbitrary field. In addition, when the base field is finite, for each such algebra, we provide a finite basis for the T-ideal of trace polynomial identities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19797",
  "author_total": 3,
  "authors": [
    {
      "name": "Lucio Centrone"
    },
    {
      "name": "Rosiele Trindade Barbosa"
    },
    {
      "name": "Felipe Yasumura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2mztrf0jg6jer.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19797",
  "fulltext_url": null,
  "id": "2mztrf0jg6jer",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19797",
  "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|Rings, Modules, and Algebras"
    ]
  ],
  "openalex": "W7213600254",
  "pdf_url": "https://arxiv.org/pdf/2609.19797",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2mztrf0jg6jer.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.19797",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19797"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the trace identities of 2-dimensional tr-prime algebras over a finite field",
  "title_text": "On the trace identities of 2-dimensional tr-prime algebras over a finite field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/2mztrf0jg6jer",
  "venue": "arXiv",
  "versions": []
}