{
  "id": "1905.04048",
  "version": "v1",
  "published": "2019-05-10T10:08:35.000Z",
  "updated": "2019-05-10T10:08:35.000Z",
  "title": "Gorenstein-projective and semi-Gorenstein-projective modules. II",
  "authors": [
    "Claus Michael Ringel",
    "Pu Zhang"
  ],
  "comment": "26 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let k be a field and q a non-zero element of k. In Part I, we have exhibited a 6-dimensional k-algebra A = A(q) and we have shown that if q has infinite multiplicative order, then A has a 3-dimensional local module which is semi-Gorenstein-projective, but not torsionless, thus not Gorenstein-projective. This Part II is devoted to a detailed study of all the 3-dimensional local A-modules for this particular algebra A. If q has infinite multiplicative order, we will encounter a whole family of 3-dimensional local modules which are semi-Gorenstein-projective, but not torsionless.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-10T10:08:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16G50",
      "16E05",
      "16E65",
      "20G42"
    ],
    "keywords": [
      "semi-gorenstein-projective modules",
      "infinite multiplicative order",
      "local module",
      "non-zero element",
      "local a-modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}