{
  "id": "1107.2076",
  "version": "v1",
  "published": "2011-07-11T17:24:44.000Z",
  "updated": "2011-07-11T17:24:44.000Z",
  "title": "Finite Modules over $\\Bbb Z[t,t^{-1}]$",
  "authors": [
    "Xiang-dong Hou"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RA",
    "math.AT"
  ],
  "abstract": "Let $\\Lambda=\\Bbb Z[t,t^{-1}]$ be the ring of Laurent polynomials over $\\Bbb Z$. We classify all $\\Lambda$-modules $M$ with $|M|=p^n$, where $p$ is a primes and $n\\le 4$. Consequently, we have a classification of Alexander quandles of order $p^n$ for $n\\le 4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-11T17:24:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S34",
      "20K01",
      "57M27"
    ],
    "keywords": [
      "finite modules",
      "laurent polynomials",
      "alexander quandles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2076H"
    }
  }
}