{
  "annotation_id": "8fd52e0b-2fa1-48f9-aaed-eee6bcc8fe6b",
  "date_created": "2026-03-02T18:01:25.315000Z",
  "date_modified": "2026-03-02T18:01:25.315000Z",
  "file_hash": "585c249f83ca3fda997864e0325070966f60aa478206144f875cb4d455402a82",
  "private": false,
  "record": {
    "abstract": "A new notion of an optimal algebra for a first order coordinate differential\nwas introduced in \\cite{BKO}. Some relevant examples are indicated. Quadratic\nidentities in the optimal algebras and calculi on quadratic algebras are\nstudied. Canonical construction of a quantum de Rham complex for the coordinate\ndifferential is proposed. The relations between calculi and various\ngeneralizations of the Yang--Baxter equation are established.",
    "arxiv_id": "q-alg/9501018",
    "authors": [
      "A. Borowiec",
      "V. K. Kharchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Coordinate Calculi on Associative Algebras",
    "url": "https://arxiv.org/abs/q-alg/9501018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dc39812b-2602-4888-9630-6b145965dc5e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}