{
  "id": "1305.3408",
  "version": "v1",
  "published": "2013-05-15T09:55:35.000Z",
  "updated": "2013-05-15T09:55:35.000Z",
  "title": "On the extensions of Di Nola's Theorem",
  "authors": [
    "Michal Botur",
    "Jan Paseka"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "The main aim of this paper is to present a direct proof of Di Nola's representation Theorem for MV-algebras and to extend his results to the restriction of the standard MV-algebra on rational numbers. The results are based on a direct proof of the theorem which says that any finite partial subalgebra of a linearly ordered MV-algebra can be embedded into $\\mathbb Q\\cap [0,1].$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-15T09:55:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "di nolas theorem",
      "extensions",
      "direct proof",
      "di nolas representation theorem",
      "finite partial subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.3408B"
    }
  }
}