{
  "annotation_id": "42e8868c-5550-497d-b5c3-86814ba22aad",
  "date_created": "2026-03-02T18:01:25.367000Z",
  "date_modified": "2026-03-02T18:01:25.367000Z",
  "file_hash": "095d1e100db2fd90a21b7db803459ae1abb2b7d852195a1e713babd32c10bbf6",
  "private": false,
  "record": {
    "abstract": "A new notion of an optimum first order calculi was introduced in [Borowiec,\nKharchenko and Oziewicz, 1993]. A module of vector fields for a coordinate\ndifferential is defined. Some examples of optimal algebras for homogeneous\nbimodule commutations are presented. Classification theorem for homogeneous\ncalculi with commutative optimal algebras in two variables is proved.",
    "arxiv_id": "q-alg/9501024",
    "authors": [
      "A. Borowiec",
      "V. K. Kharchenko"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "First Order Optimum Calculi",
    "url": "https://arxiv.org/abs/q-alg/9501024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f401ccb2-359e-485e-b8f0-7bcb896239cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}