{
  "id": "0912.4984",
  "version": "v4",
  "published": "2009-12-30T19:12:48.000Z",
  "updated": "2011-05-17T19:52:42.000Z",
  "title": "Auslander-Reiten sequences and $t$-structures on the homotopy category of an abelian category",
  "authors": [
    "Erik Backelin",
    "Omar Jaramillo"
  ],
  "comment": "This is a totally rewritten version of the article, adding material and fixing existing errors",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use $t$-structures on the homotopy category $K^b(R-mod)$ for an artin algebra $R$ and Watts' representability theorem to give an existence proof for Auslander-Reiten sequences of $R$-modules.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-05-17T19:52:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16G70",
      "18G99"
    ],
    "keywords": [
      "homotopy category",
      "auslander-reiten sequences",
      "abelian category",
      "structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.4984B"
    }
  }
}