{
  "id": "1104.4006",
  "version": "v1",
  "published": "2011-04-20T12:10:45.000Z",
  "updated": "2011-04-20T12:10:45.000Z",
  "title": "The singularity category of an algebra with radical square zero",
  "authors": [
    "Xiao-Wu Chen"
  ],
  "comment": "Comments are welcome",
  "journal": "Documenta Mathematica, 16 (2011), 921-936",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "To an artin algebra with radical square zero, a regular algebra in the sense of von Neumann and a family of invertible bimodules over the regular algebra are associated. These data describe completely, as a triangulated category, the singularity category of the artin algebra. A criterion on the Hom-finiteness of the singularity category is given in terms of the valued quiver of the artin algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-20T12:10:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "13E10",
      "16E50"
    ],
    "keywords": [
      "radical square zero",
      "singularity category",
      "artin algebra",
      "regular algebra",
      "von neumann"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4006C"
    }
  }
}