{
  "id": "2205.10831",
  "version": "v1",
  "published": "2022-05-22T14:12:36.000Z",
  "updated": "2022-05-22T14:12:36.000Z",
  "title": "The extensions of t-structures",
  "authors": [
    "Xiao-Wu Chen",
    "Zengqiang Lin",
    "Yu Zhou"
  ],
  "comment": "14 pages. Any comments are welcome",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We reformulate a result of Bernhard Keller on extensions of $t$-structures and give a detailed proof. In the study of hereditary $t$-structures, the notions of regular $t$-structures and global dimensions arise naturally.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-22T14:12:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G80",
      "18G20",
      "16E60"
    ],
    "keywords": [
      "extensions",
      "t-structures",
      "global dimensions arise",
      "bernhard keller"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}