{
  "id": "2107.10149",
  "version": "v1",
  "published": "2021-07-21T15:25:40.000Z",
  "updated": "2021-07-21T15:25:40.000Z",
  "title": "A Note on The Global Dimension of Shifted Orders",
  "authors": [
    "Özgür Esentepe"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We consider dominant dimension of an order over a Cohen-Macaulay ring in the category of centrally Cohen-Macaulay modules. There is a canonical tilting module in the case of positive dominant dimension and we give an upper bound on the global dimension of its endomorphism ring.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-21T15:25:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global dimension",
      "shifted orders",
      "upper bound",
      "positive dominant dimension",
      "centrally cohen-macaulay modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}