{
  "annotation_id": "dcea628a-2f85-4e0a-9442-93db1b01d921",
  "date_created": "2026-03-02T18:01:28.700000Z",
  "date_modified": "2026-03-02T18:01:28.700000Z",
  "file_hash": "2f2b72681badbcacff6a02c5fc293c25ff906ebfe7552df3a527b509eba76846",
  "private": false,
  "record": {
    "abstract": "The notion of a coalgebra-Galois extension is defined as a natural\ngeneralisation of a Hopf-Galois extension. It is shown that any\ncoalgebra-Galois extension induces a unique entwining map $\\psi$ compatible\nwith the right coaction. For the dual notion of an algebra-Galois coextension\nit is also proven that there always exists a unique entwining structure\ncompatible with the right action.",
    "arxiv_id": "q-alg/9708010",
    "authors": [
      "Tomasz Brzezinski",
      "Piotr M. Hajac"
    ],
    "categories": [
      "q-alg",
      "math.QA",
      "math.RA"
    ],
    "journal_ref": "Commun. Algebra, 27:1347-1367, 1999",
    "title": "Coalgebra Extensions and Algebra Coextensions of Galois Type",
    "url": "https://arxiv.org/abs/q-alg/9708010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5023fd89-dd23-45f6-b10d-c72d192b952b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}