{
  "id": "2003.01493",
  "version": "v1",
  "published": "2020-03-03T13:06:16.000Z",
  "updated": "2020-03-03T13:06:16.000Z",
  "title": "The long $n$-exact sequence theorem in $n$-abelian categories",
  "authors": [
    "Deren Luo",
    "Panyue Zhou"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "In this note, we show that the long $n$-exact sequence theorem holds in any $n$-abelian category. As an application, the $n$-abelian version of Wakamatsu's Lemma is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-03T13:06:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G10",
      "18G15",
      "18E25",
      "18G50"
    ],
    "keywords": [
      "abelian category",
      "exact sequence theorem holds",
      "abelian version",
      "wakamatsus lemma",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}