{
  "id": "2204.06879",
  "version": "v1",
  "published": "2022-04-14T11:10:59.000Z",
  "updated": "2022-04-14T11:10:59.000Z",
  "title": "On $n$-hereditary algebras and $n$-slice algebras",
  "authors": [
    "Jin Yun Guo",
    "Yanping Hu"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In this paper we show that $n$-slice algebras are exactly $n$-hereditary algebras whose $(n+1)$-preprojective algebras are $(q+1,n+1)$-Koszul. We also list the equivalent triangulated categories arising from the algebra constructions related to an $n$-slice algebra. We show that higher slice algebras of finite type appear in pair and they share the Auslander-Reiten quiver for their higher preprojective components.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-14T11:10:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70",
      "16S37"
    ],
    "keywords": [
      "hereditary algebras",
      "finite type appear",
      "higher slice algebras",
      "higher preprojective components",
      "auslander-reiten quiver"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}