{
  "id": "1505.04522",
  "version": "v1",
  "published": "2015-05-18T06:28:13.000Z",
  "updated": "2015-05-18T06:28:13.000Z",
  "title": "Derived equivalences of functor categories",
  "authors": [
    "Javad Asadollahi",
    "Rasool Hafezi",
    "Razieh Vahed"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $\\Mod \\CS$ denote the category of $\\CS$-modules, where $\\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\\Mod \\CS$. This will have several interesting applications. In the second part, we apply our techniques to get some interesting recollements of derived categories in different levels. We specialize our results to path rings as well as graded rings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-18T06:28:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E30",
      "16E35",
      "16E65",
      "16P10",
      "16G10"
    ],
    "keywords": [
      "derived equivalence",
      "functor categories",
      "first part",
      "rickards theorem",
      "small category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}