{
  "id": "2003.04189",
  "version": "v1",
  "published": "2020-03-09T15:11:07.000Z",
  "updated": "2020-03-09T15:11:07.000Z",
  "title": "On the nilpotency index of the radical of a module category",
  "authors": [
    "Claudia Chaio",
    "Victoria Guazzelli",
    "Pamela Suarez"
  ],
  "comment": "29 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $A$ be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of $Q_A$ are suficient to be consider in order to compute the nilpotency index of the radical of the module category of $A$. In many cases, we give a formula to compute such index taking into account the ordinary quiver of the given algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-09T15:11:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "module category",
      "nilpotency index",
      "finite dimensional representation-finite algebra",
      "ordinary quiver",
      "algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}