{
  "id": "0904.4310",
  "version": "v5",
  "published": "2009-04-28T05:41:36.000Z",
  "updated": "2011-04-20T01:05:27.000Z",
  "title": "Characterizing quaternion rings over an arbitrary base",
  "authors": [
    "John Voight"
  ],
  "comment": "19 pages; typos fixed and corrections made",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the class of algebras of rank 4 equipped with a standard involution over an arbitrary base ring. In particular, we characterize quaternion rings, those algebras defined by the construction of the even Clifford algebra.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2011-04-20T01:05:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characterizing quaternion rings",
      "characterize quaternion rings",
      "standard involution",
      "clifford algebra",
      "arbitrary base ring"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.4310V"
    }
  }
}