{
  "id": "2007.01168",
  "version": "v1",
  "published": "2020-07-01T12:01:08.000Z",
  "updated": "2020-07-01T12:01:08.000Z",
  "title": "Recollements and tilting modules",
  "authors": [
    "Xin Ma",
    "Tiwei Zhao"
  ],
  "comment": "14 pages, accepted for publication in Communications in Algebra. arXiv admin note: text overlap with arXiv:1801.02343",
  "doi": "10.1080/00927872.2020.1781874",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $(\\mbox{mod} \\Lambda',\\mbox{mod} \\Lambda,\\mbox{mod} \\Lambda'')$ be a recollement of module categories for artin algebras $\\Lambda'$, $\\Lambda$ and $\\Lambda''$. We provide a sufficient condition such that a glued torsion pair in $\\mbox{mod} \\Lambda$ is tilting when the given two torsion pairs are tilting in $\\mbox{mod} \\Lambda'$ and $\\mbox{mod} \\Lambda''$ respectively. Using this result, we give a construction of gluing of tilting modules in $\\mbox{mod} \\Lambda$ with respect to tilting modules in $\\mbox{mod} \\Lambda'$ and $\\mbox{mod} \\Lambda''$ respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-01T12:01:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilting modules",
      "recollement",
      "sufficient condition",
      "artin algebras"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Taylor-Francis"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}