{
  "id": "1207.4856",
  "version": "v2",
  "published": "2012-07-20T06:06:33.000Z",
  "updated": "2013-04-14T09:31:53.000Z",
  "title": "The Gorenstein projective modules for the Nakayama algebras. I",
  "authors": [
    "Claus Michael Ringel"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "The aim of this note is to outline the structure of the category of the Gorenstein projective modules for a Nakayama algebra. We are going to introduce the resolution quiver of such an algebra. It provides a fast algorithm in order to obtain the Gorenstein projective modules and to decide whether the algebra is a Gorenstein algebra or not, and whether it is CM-free or not.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-14T09:31:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16G50",
      "16D90",
      "16E05",
      "16G70",
      "18G25"
    ],
    "keywords": [
      "gorenstein projective modules",
      "nakayama algebra",
      "fast algorithm",
      "resolution quiver",
      "gorenstein algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.4856R"
    }
  }
}