{
  "id": "2008.12181",
  "version": "v1",
  "published": "2020-08-27T15:16:05.000Z",
  "updated": "2020-08-27T15:16:05.000Z",
  "title": "Support $τ$-tilting modules over one-point extensions",
  "authors": [
    "Hanpeng Gao",
    "Zongzhen Xie"
  ],
  "comment": "9 pages, accepted by Comm in algebra",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $B$ be the one-point extension algebra of $A$ by an $A$-module $X$. We proved that every support $\\tau$-tilting $A$-module can be extended to be a support $\\tau$-tilting $B$-module by two different ways. As a consequence, it is shown that there is an inequality $$|\\stilt B|\\geqslant 2|\\stilt A|.$$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-27T15:16:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16E30",
      "16G20"
    ],
    "keywords": [
      "tilting modules",
      "one-point extension algebra",
      "consequence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}