{
  "id": "1412.0910",
  "version": "v1",
  "published": "2014-12-02T13:32:57.000Z",
  "updated": "2014-12-02T13:32:57.000Z",
  "title": "Some applications of recollements to Gorenstein projective modules",
  "authors": [
    "Ming Lu"
  ],
  "comment": "17 pages, 4 figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "We apply the technique of recollement to study the Gorenstein projective modules. First, we construct a recollement of defect Gorenstein categories for the upper triangular matrix algebras. Then we use the defect Gorenstein category to give a categorical interpretation of the Groenstein properties of the upper triangular matrix algebra obtained by X-W Chen, B. Xiong and P. Zhang respectively. Finally, as a generalization of the structure of the cluster-tilted algebra of type $A$, we define the gluing Nakayama algebra, and use recollement to describe its singularity category clearly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-02T13:32:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gorenstein projective modules",
      "upper triangular matrix algebra",
      "recollement",
      "defect gorenstein category",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.0910L"
    }
  }
}