{
  "abstract": "We study four-dimensional binomial Artin-Schelter regular algebras and their connection with twisted monoid algebras. Starting with $23$ examples up to permutation of generators, we investigate the associated monoids of I-type and the structure of their groups of fractions. We determine the corresponding finite permutation groups and compute the second group cohomology $H^2(G(M),k^\\times)$. These computations allow us to construct explicit families of four-dimensional Koszul Artin-Schelter regular algebras through cocycle twists. We illustrate this construction for some of these algebras.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03989",
  "author_total": 1,
  "authors": [
    {
      "name": "Vishal Bhatoy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f2rf83cz1c61q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03989",
  "fulltext_url": null,
  "id": "f2rf83cz1c61q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03989",
  "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.AG"
    ],
    [
      "arxiv",
      "math.RA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03989",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f2rf83cz1c61q.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.03989",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03989"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras",
  "title_text": "Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/f2rf83cz1c61q",
  "venue": "arXiv",
  "versions": []
}