{
  "annotation_id": "5983b58d-986e-4794-8f5c-e899a4dab670",
  "date_created": "2026-03-02T18:02:44.532000Z",
  "date_modified": "2026-03-02T18:02:44.532000Z",
  "file_hash": "b430358c5c1b6d6680ec514f4ef1d53b6ed087bada6eb2f6861fc2090b09f0c2",
  "private": false,
  "record": {
    "abstract": "A liaison between quantum logics and non-commutative differential geometry is\noutlined: a class of quantum logics are proved to possess the structure of\ndiscrete differential manifolds. We show that the set of proper elements of an\narbitrary atomic Greechie logic is naturally endowed by Koszul\u0027s differential\ncalculus.",
    "arxiv_id": "quant-ph/9902065",
    "authors": [
      "Roman B. Breslav",
      "Roman R. Zapatrin"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "journal_ref": "Int.J.Theor.Phys. 39 (2000) 1027-1035",
    "title": "Differential structure of Greechie logics",
    "url": "https://arxiv.org/abs/quant-ph/9902065"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "daa6f6a0-fb88-4607-919f-5db0317b2029",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}