{
  "id": "2012.09002",
  "version": "v1",
  "published": "2020-12-16T14:56:08.000Z",
  "updated": "2020-12-16T14:56:08.000Z",
  "title": "$ξ$-tilting objects in extriangulated categories",
  "authors": [
    "Yuxia Mei",
    "Jiaqun Wei"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. In this article, we introduce and study the notion of $\\xi$-tilting object in an extriangulated category, where $\\xi$ is a proper class of $\\mathbb{E}$-triangles. This extends results in \\cite{YGH_2020}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-16T14:56:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extriangulated category",
      "tilting object",
      "exact categories",
      "proper class",
      "extends results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}