{
  "id": "1706.09118",
  "version": "v1",
  "published": "2017-06-28T04:01:27.000Z",
  "updated": "2017-06-28T04:01:27.000Z",
  "title": "Tame Quivers have finitely many m-Maximal Green Sequences",
  "authors": [
    "Kiyoshi Igusa",
    "Ying Zhou"
  ],
  "comment": "7 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we state and prove the statement that tame quivers have finitely many $m$-maximal green sequences using a generalized version of Br\\\"ustle-Dupont-P\\'erotin's argument that tame quivers have finitely many maximal green sequences. Finally we strengthen the property of having finitely many $m$-maximal green sequences to almost morphism finiteness and prove that all path algebras of quivers of finite or tame type are almost morphism finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-28T04:01:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20"
    ],
    "keywords": [
      "tame quivers",
      "m-maximal green sequences",
      "tame type",
      "path algebras",
      "morphism finiteness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}