{
  "id": "1805.08085",
  "version": "v1",
  "published": "2018-05-21T14:20:14.000Z",
  "updated": "2018-05-21T14:20:14.000Z",
  "title": "On upper bound for global dimension of Auslander--Dlab--Ringel algebras",
  "authors": [
    "Mayu Tsukamoto"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Lin and Xi introduced Auslander--Dlab--Ringel (ADR) algebras of seimlocal modules as a generalization of original ADR algebras and showed that they are quasi-hereditary. In this paper, we prove that such algebras are always left-strongly quasi-hereditary. As an application, we give a better upper bound for global dimension of ADR algebras of semilocal modules. Moreover we describe characterizations of original ADR algebras to be strongly quasi-hereditary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-21T14:20:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "16E10"
    ],
    "keywords": [
      "global dimension",
      "auslander-dlab-ringel algebras",
      "original adr algebras",
      "better upper bound",
      "semilocal modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}