{
  "abstract": "We classify, up to PI-equivalence, associative algebras over a field of characteristic zero whose codimension sequences have quadratic growth. More precisely, making use of fundamental algebras, we prove that every such algebra is PI-equivalent to a finite direct sum of algebras generating minimal varieties of at most quadratic codimension growth, together with a possible nilpotent summand.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.22966",
  "author_total": 3,
  "authors": [
    {
      "name": "Wesley Quaresma Cota"
    },
    {
      "name": "Luiz Henrique de Souza Matos"
    },
    {
      "name": "Pedro Quintino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/56g387whgxv6k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.22966",
  "fulltext_url": null,
  "id": "56g387whgxv6k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.22966",
  "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": "W7204169329",
  "pdf_url": "https://arxiv.org/pdf/2608.22966",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/56g387whgxv6k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2608.22966",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.22966"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RA",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Varieties of associative algebras with quadratic codimension growth",
  "title_text": "Varieties of associative algebras with quadratic codimension growth",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/56g387whgxv6k",
  "venue": "arXiv",
  "versions": []
}