{
  "id": "1603.09698",
  "version": "v1",
  "published": "2016-03-31T17:48:16.000Z",
  "updated": "2016-03-31T17:48:16.000Z",
  "title": "Model Theory of Adeles I",
  "authors": [
    "Jamshid Derakhshan",
    "Angus Macintyre"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We study the model theory of the ring of adeles of a number field. We obtain quantifier elimination results in the language of rings and some enrichments. We given consequences for definable subsets of the adeles, and their measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-31T17:48:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C10",
      "11M06",
      "11M41",
      "11U09",
      "11U05",
      "11U07",
      "11S40",
      "12J12",
      "12J25",
      "12J10"
    ],
    "keywords": [
      "model theory",
      "quantifier elimination results",
      "number field",
      "enrichments"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160309698D"
    }
  }
}