{
  "id": "1712.04710",
  "version": "v1",
  "published": "2017-12-13T11:20:58.000Z",
  "updated": "2017-12-13T11:20:58.000Z",
  "title": "Torsion Pairs in Recollements of Abelian Categories",
  "authors": [
    "Xin Ma",
    "Zhaoyong Huang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "For a recollement $(\\mathcal{A},\\mathcal{B},\\mathcal{C})$ of abelian categories, we show that torsion pairs in $\\mathcal{A}$ and $\\mathcal{C}$ can induce torsion pairs in $\\mathcal{B}$; and the converse holds true under certain conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-13T11:20:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian categories",
      "recollement",
      "induce torsion pairs",
      "converse holds true"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}