{
  "id": "1104.3971",
  "version": "v1",
  "published": "2011-04-20T08:42:09.000Z",
  "updated": "2011-04-20T08:42:09.000Z",
  "title": "A precise result on the arithmetic of non-principal orders in algebraic number fields",
  "authors": [
    "Andreas Philipp"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $R$ be an order in an algebraic number field. If $R$ is a principal order, then many explicit results on its arithmetic are available. Among others, $R$ is half-factorial if and only if the class group of $R$ has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-20T08:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R27",
      "13A05",
      "13F15",
      "20M13"
    ],
    "keywords": [
      "algebraic number field",
      "non-principal orders",
      "precise result",
      "arithmetic",
      "explicit results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.3971P"
    }
  }
}