{
  "id": "1510.02258",
  "version": "v1",
  "published": "2015-10-08T09:47:38.000Z",
  "updated": "2015-10-08T09:47:38.000Z",
  "title": "The model structure of Iyama-Yoshino's subfactor triangulated categories",
  "authors": [
    "Zhi-Wei Li"
  ],
  "comment": "any comments are welcome",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "Let $\\X$ be a homological finite subcategory of an additive category $\\C$. Under suitable conditions, we prove that the stable category $\\C/\\X$ as the homotopy category of a closed model structure on $\\C$ induced by $\\X$ is a triangulated category. This shows that Iyama-Yoshino's subfactor triangulated categories have closed model structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-08T09:47:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G25",
      "18E30",
      "18G55"
    ],
    "keywords": [
      "triangulated category",
      "iyama-yoshinos subfactor triangulated categories",
      "closed model structure",
      "homological finite subcategory",
      "homotopy category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151002258L"
    }
  }
}