{
  "id": "1506.03103",
  "version": "v1",
  "published": "2015-06-09T21:09:47.000Z",
  "updated": "2015-06-09T21:09:47.000Z",
  "title": "A new characterization of hereditary algebras",
  "authors": [
    "Yichao Yang",
    "Jinde Xu"
  ],
  "comment": "3 pages, 0 figure",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this short paper we prove that a finite dimensional algebra is hereditary if and only if there is no loop in its ordinary quiver and every $\\tau$-tilting module is tilting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-09T21:09:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16E10"
    ],
    "keywords": [
      "hereditary algebras",
      "characterization",
      "finite dimensional algebra",
      "short paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150603103Y"
    }
  }
}