{
  "annotation_id": "5d2e9e0e-aafe-4ded-bec4-bec56f1471c2",
  "date_created": "2026-02-17T05:53:12.383000Z",
  "date_modified": "2026-02-17T05:53:12.383000Z",
  "file_hash": "22f5e809337fbaa4ee2e2d732b9e126b53e9155b83faf71532d04238cc3157a9",
  "private": false,
  "record": {
    "abstract": "The extriangulated category is a simultaneous generalization of exact categories and triangulated categories. H. Nakaoka and Y. Palu have proved that the homotopy category of an admissible model structure on a weakly idempotent complete extriangulated category is a triangulated category. Using the classic construction of distinguished triangles given by A. Heller and D. Happel, this paper provides an alternative proof of Nakaoka - Palu Theorem. In fact, the class $\\Delta$ of distinguished triangles in the present paper and the class $\\widetilde{\\Delta}$ of distinguished triangles in \\cite{NP} have the relation $\\Delta = - \\widetilde{\\Delta}$, and hence the two triangulated structures on the homotopy category are isomorphic.",
    "arxiv_id": "2601.07352",
    "authors": [
      "Shun-Jie Li",
      "Yang Gao",
      "Pu Zhang"
    ],
    "categories": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "title": "Homotopy categories of admissible model structures on extriangulated categories",
    "url": "https://arxiv.org/abs/2601.07352",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "00cf2cab-41a3-49dd-abe0-9f7b2c6d6f02",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}