{
  "id": "1009.0447",
  "version": "v3",
  "published": "2010-09-02T15:11:46.000Z",
  "updated": "2012-04-02T12:52:08.000Z",
  "title": "On rings of integers generated by their units",
  "authors": [
    "Christopher Frei"
  ],
  "comment": "15 pages",
  "journal": "Bull. London Math. Soc. 44: 167-182, 2012",
  "doi": "10.1112/blms/bdr089",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an affirmative answer to the following question by Jarden and Narkiewicz: Is it true that every number field has a finite extension L such that the ring of integers of L is generated by its units (as a ring)? As a part of the proof, we generalize a theorem by Hinz on power-free values of polynomials in number fields.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-04-02T12:52:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R04",
      "11R27"
    ],
    "keywords": [
      "number field",
      "finite extension",
      "power-free values",
      "narkiewicz"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.0447F"
    }
  }
}