{
  "id": "2005.05203",
  "version": "v1",
  "published": "2020-05-11T15:47:55.000Z",
  "updated": "2020-05-11T15:47:55.000Z",
  "title": "The finitistic dimension of an Artin algebra with radical square zero",
  "authors": [
    "Vincent Gélinas"
  ],
  "comment": "9 page, comments welcome",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We investigate the inequality ${\\rm Findim}\\ \\! \\Lambda^{op} \\leq {\\rm dell}\\ \\! \\Lambda$ between the finitistic dimension and the delooping level of an Artin algebra $\\Lambda$, and whether equality holds in general. We prove that equality ${\\rm Findim}\\ \\! \\Lambda^{op} = {\\rm dell}\\ \\! \\Lambda$ always holds for Artin algebras with radical square zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-11T15:47:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E10"
    ],
    "keywords": [
      "radical square zero",
      "artin algebra",
      "finitistic dimension",
      "equality holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}