{
  "id": "1412.1159",
  "version": "v1",
  "published": "2014-12-03T02:30:43.000Z",
  "updated": "2014-12-03T02:30:43.000Z",
  "title": "A note on generic objects and locally finite triangulated categories",
  "authors": [
    "Zhe Han"
  ],
  "comment": "8 pages. Comments are welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that the homotopy category of injective $A$-modules is generically trivial is equivalent the derived category of all modules is generically trivial for an algebra $A$. Moreover we show some connections between the generic objects, locally finiteness and Krull-Gabriel dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-03T02:30:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "locally finite triangulated categories",
      "generic objects",
      "generically trivial",
      "krull-gabriel dimension",
      "homotopy category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.1159H"
    }
  }
}