{
  "id": "1212.5838",
  "version": "v2",
  "published": "2012-12-23T22:16:25.000Z",
  "updated": "2013-08-28T08:48:05.000Z",
  "title": "Model theory of fields with free operators in characteristic zero",
  "authors": [
    "Rahim Moosa",
    "Thomas Scanlon"
  ],
  "categories": [
    "math.LO",
    "math.AG",
    "math.RA"
  ],
  "abstract": "Generalising and unifying the known theorems for difference and differential fields, it is shown that for every finite free ${\\mathbb S}$-algebra ${\\mathcal D}$ over a field $A$ of characteristic zero the theory of ${\\mathcal D}$-fields has a model companion ${\\mathcal D}$-CF$_0$ which is simple and satisfies the Zilber dichotomy for finite-dimensional minimal types.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-08-28T08:48:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characteristic zero",
      "free operators",
      "model theory",
      "finite-dimensional minimal types",
      "finite free"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.5838M"
    }
  }
}