{
  "id": "1201.0479",
  "version": "v1",
  "published": "2012-01-02T15:00:12.000Z",
  "updated": "2012-01-02T15:00:12.000Z",
  "title": "On the derived dimension of abelian categories",
  "authors": [
    "Javad Asadollahi",
    "Rasool Hafezi"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give an upper bound on the dimension of the bounded derived category of an abelian category. We show that if $\\CX$ is a sufficiently nice subcategory of an abelian category, then derived dimension of $\\CA$ is at most $\\CX$-dim$\\CA$, provided $\\CX$-dim$\\CA$ is greater than one. We provide some applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-02T15:00:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E10",
      "18E30",
      "18A40"
    ],
    "keywords": [
      "abelian category",
      "derived dimension",
      "sufficiently nice subcategory",
      "upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.0479A"
    }
  }
}