{
  "id": "1304.2692",
  "version": "v1",
  "published": "2013-04-09T18:38:10.000Z",
  "updated": "2013-04-09T18:38:10.000Z",
  "title": "Recollements of Module Categories",
  "authors": [
    "Chrysostomos Psaroudakis",
    "Jorge Vitoria"
  ],
  "comment": "Comments are welcome",
  "categories": [
    "math.RT",
    "math.CT",
    "math.RA"
  ],
  "abstract": "We establish a correspondence between recollements of abelian categories up to equivalence and certain TTF-triples. For a module category we show, moreover, a correspondence with idempotent ideals, recovering a theorem of Jans. Furthermore, we show that a recollement whose terms are module categories is equivalent to one induced by an idempotent element, thus answering a question by Kuhn.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-09T18:38:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18E35",
      "18E40",
      "16S90"
    ],
    "keywords": [
      "module category",
      "recollement",
      "abelian categories",
      "idempotent ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.2692P"
    }
  }
}