{
  "id": "2306.16603",
  "version": "v1",
  "published": "2023-06-29T00:10:59.000Z",
  "updated": "2023-06-29T00:10:59.000Z",
  "title": "Hearts of twin cotorsion pairs revisited: integral and abelian hearts",
  "authors": [
    "Yu Liu",
    "Panyue Zhou"
  ],
  "comment": "15 pages",
  "categories": [
    "math.RT",
    "math.CT"
  ],
  "abstract": "Hearts of twin cotorsion pairs are shown to be quasi-abelian. But they are not always integral. In this article, we provide a sufficient and necessary condition for the hearts of twin cotorsion pairs being integral (resp. abelian).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-29T00:10:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "twin cotorsion pairs",
      "abelian hearts",
      "necessary condition",
      "quasi-abelian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}