{
  "id": "1109.6226",
  "version": "v1",
  "published": "2011-09-28T14:33:27.000Z",
  "updated": "2011-09-28T14:33:27.000Z",
  "title": "Derived categories and syzygies",
  "authors": [
    "Jiaqun Wei"
  ],
  "comment": "Comments are invited",
  "categories": [
    "math.RT",
    "math.AC",
    "math.CT",
    "math.KT",
    "math.RA"
  ],
  "abstract": "We introduce syzygies for derived categories and study their properties. Using these, we prove the derived invariance of the following classes of artin algebras: (1) syzygy-finite algebras, (2) Igusa-Todorov algebras, (3) AC algebras, (4) algebras satisfying the finitistic Auslander conjecture, and (5) algebras satisfying the generalized Auslander-Reiten conjecture. In particular, Gorenstein CM-finite algebras are derived invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-28T14:33:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "derived categories",
      "gorenstein cm-finite algebras",
      "finitistic auslander conjecture",
      "generalized auslander-reiten conjecture",
      "artin algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.6226W"
    }
  }
}