{
  "id": "2004.01911",
  "version": "v1",
  "published": "2020-04-04T11:36:15.000Z",
  "updated": "2020-04-04T11:36:15.000Z",
  "title": "Rejection lemma and almost split sequences",
  "authors": [
    "Yuriy A. Drozd"
  ],
  "comment": "23 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We study the behaviour of almost split sequences and \\art quivers of an order under rejection of bijective modules. In particular, we establish relations of stable categories and almost split sequences for an order $A$ and the order $A'$ obtained from $A$ by such rejection. These results are specified for Gorenstein and Frobenius cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-04T11:36:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G60",
      "16G70",
      "16H20"
    ],
    "keywords": [
      "split sequences",
      "rejection lemma",
      "frobenius cases",
      "establish relations",
      "stable categories"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}