{
  "id": "2209.03192",
  "version": "v1",
  "published": "2022-09-01T15:39:02.000Z",
  "updated": "2022-09-01T15:39:02.000Z",
  "title": "Lifting of recollements and Gorenstein projective modules",
  "authors": [
    "Nan Gao",
    "Jing Ma"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the paper, we investigate the lifting of recollements with respect to Gorenstein-projective modules. Specifically, a homological ring epimorphism can induce a lifting of the recollement of the stable category of finitely generated Gorenstein-projective modules; the recollement of the bounded Gorenstein derived categories of some upper triangular matrix algebras can be lifted to the homotopy category of Gorenstein-projective modules. As a byproduct, we give a sufficient and necessary condition on the upper triangular matrix algebra T_{n}(A) to be of finite CM-type for an algebra A of finite CM-type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-01T15:39:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G20",
      "16G10"
    ],
    "keywords": [
      "gorenstein projective modules",
      "upper triangular matrix algebra",
      "recollement",
      "gorenstein-projective modules",
      "finite cm-type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}