{
  "id": "math/0609634",
  "version": "v1",
  "published": "2006-09-22T10:38:27.000Z",
  "updated": "2006-09-22T10:38:27.000Z",
  "title": "aleph_n-Free abelain group with no non-zero homomorphism Z",
  "authors": [
    "Saharon Shelah"
  ],
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "For any natural n, we construct an aleph_n-free abelian groups which have few homomorphisms to Z . For this we use ``aleph_n-free (n+1)-dimensional black boxes''. The method is relevant to e.g. construction of aleph_n-free abelian groups with a prescribed endomorphism ring.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-22T10:38:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-zero homomorphism",
      "abelain group",
      "abelian groups",
      "black boxes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9634S"
    }
  }
}