{
  "id": "2008.10044",
  "version": "v1",
  "published": "2020-08-23T14:06:01.000Z",
  "updated": "2020-08-23T14:06:01.000Z",
  "title": "The finitistic dimension of a Nakayama algebra",
  "authors": [
    "Claus Michael Ringel"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "If A is an artin algebra, G\\'elinas has introduced the delooping level of A as an interesting upper bound for the finitistic dimension of A. We assert that for any Nakayama algebra A the finitistic dimension of A is equal to the delooping level. This yields also a new proof that the finitistic dimension of A and its opposite algebra are equal, as shown quite recently by Sen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-23T14:06:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finitistic dimension",
      "nakayama algebra",
      "delooping level",
      "artin algebra",
      "interesting upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}