{
  "id": "1112.0599",
  "version": "v1",
  "published": "2011-12-02T22:48:58.000Z",
  "updated": "2011-12-02T22:48:58.000Z",
  "title": "On completely decomposable and separable modules over Prüfer domains",
  "authors": [
    "L. Fuchs",
    "J. E. Macías-Díaz"
  ],
  "journal": "Journal of Commutative Algebra 2(2), pp. 159-176, 22 Jun 2010",
  "doi": "10.1216/JCA-2010-2-2-159",
  "categories": [
    "math.AC",
    "math.GR"
  ],
  "abstract": "We generalize known results on summands of completely decomposable and separable torsion-free abelian groups to modules over h-local Pr\\\"ufer domains. Over such domains summands of completely decomposable torsion-free modules are again completely decomposable (Theorem 3.2) and summands of separable torsion-free modules are likewise separable (Theorem 4.2). In addition, a Pontryagin-Hill type theorem is established on countable chains of homogeneous completely decomposable modules over h-local Pr\\\"ufer domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-02T22:48:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "13C13",
      "13C05",
      "13F05"
    ],
    "keywords": [
      "prüfer domains",
      "separable modules",
      "pontryagin-hill type theorem",
      "separable torsion-free abelian groups",
      "domains summands"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0599F"
    }
  }
}