{
  "id": "2109.11758",
  "version": "v3",
  "published": "2021-09-24T05:56:28.000Z",
  "updated": "2022-01-12T14:08:33.000Z",
  "title": "A construction of Gorenstein projective tau-tilting modules",
  "authors": [
    "Zhi-Wei Li",
    "Xiaojin Zhang"
  ],
  "comment": "7 pages, to appear in Colloq. Math, some typos are fixed",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a construction of Gorenstein projective $\\tau$-tilting modules in terms of tensor products of modules. As a consequence, we give a class of non-self-injective algebras admitting non-trivial Gorenstein projective $\\tau$-tilting modules. Moreover, we show that a finite dimensional algebra $\\Lambda$ over an algebraically closed field is $CM$-$\\tau$-tilting finite if $T_n(\\Lambda)$ is $CM$-$\\tau$-tilting finite which gives a partial answer to a question on $CM$-$\\tau$-tilting finite algebras posed by Xie and Zhang.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-01-12T14:08:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G10",
      "18G25"
    ],
    "keywords": [
      "gorenstein projective tau-tilting modules",
      "tilting finite",
      "admitting non-trivial gorenstein projective",
      "construction",
      "non-self-injective algebras admitting non-trivial gorenstein"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}