{
  "id": "0706.3638",
  "version": "v1",
  "published": "2007-06-25T13:38:10.000Z",
  "updated": "2007-06-25T13:38:10.000Z",
  "title": "Singularity categories, Schur Functors and Triangular Matrix Rings",
  "authors": [
    "Xiao-Wu Chen"
  ],
  "comment": "Comments are welcome!",
  "journal": "Algebra and Repre. Th. 12 (2009) 181-191.",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity category of triangular matrix rings. In particular, combining these results with Buchweitz-Happel's theorem, we can describe singularity categories of certain non-Gorenstein rings via the stable category of maximal Cohen-Macaulay modules. Three concrete examples of finite-dimensional algebras with the same singularity category are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-25T13:38:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity category",
      "triangular matrix rings",
      "schur functors",
      "preserve singularity categories",
      "maximal cohen-macaulay modules"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3638C"
    }
  }
}