{
  "id": "2108.07773",
  "version": "v1",
  "published": "2021-08-17T17:26:04.000Z",
  "updated": "2021-08-17T17:26:04.000Z",
  "title": "Hereditary cotorsion pairs and silting subcategories in extriangulated categories",
  "authors": [
    "Takahide Adachi",
    "Mayu Tsukamoto"
  ],
  "comment": "18 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study (complete) cotorsion pairs in extriangulated categories. First, we study a relationship between an interval of the poset of cotorsion pairs and the poset of cotorsion pairs in the heart associated to the interval. Secondly, we establish a bijection between bounded hereditary cotorsion pairs and silting subcategories in extriangulated categories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-17T17:26:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "18G80"
    ],
    "keywords": [
      "extriangulated categories",
      "silting subcategories",
      "bounded hereditary cotorsion pairs",
      "relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}