{
  "annotation_id": "ce861126-0743-4c21-890f-25a6f54aecaa",
  "date_created": "2026-03-02T18:01:27.946000Z",
  "date_modified": "2026-03-02T18:01:27.946000Z",
  "file_hash": "30e33684a133b5ec68039bb24dfd32f6e53abe33a2a92b29fb78dc69c8102936",
  "private": false,
  "record": {
    "abstract": "We recall the definition of $q$-differential algebras and discuss some\nrepresentative examples. In particular we construct the $q$-analog of the\nHochschild coboundary. We then construct the universal $q$-differential\nenvelope of a unital associative algebra and study its properties. The paper\nalso contains general results on $d^N=0$.",
    "arxiv_id": "q-alg/9608026",
    "authors": [
      "Michel Dubois-Violette",
      "Richard Kerner"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Universal $q$-differential calculus and $q$-analog of homological   algebra",
    "url": "https://arxiv.org/abs/q-alg/9608026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ec4ec4b3-e701-48a0-8144-128262143565",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}