{
  "id": "1503.03192",
  "version": "v1",
  "published": "2015-03-11T06:53:38.000Z",
  "updated": "2015-03-11T06:53:38.000Z",
  "title": "Undecidability of representability for lattice-ordered semigroups and ordered complemented semigroups",
  "authors": [
    "Murray Neuzerling"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that the problems of representing a finite ordered complemented semigroup or finite lattice-ordered semigroup as an algebra of binary relations over a finite set are undecidable. In the case that complementation is taken with respect to a universal relation, this result can be extended to infinite representations of ordered complemented semigroups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-11T06:53:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03G15"
    ],
    "keywords": [
      "undecidability",
      "representability",
      "finite lattice-ordered semigroup",
      "finite ordered complemented semigroup",
      "binary relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}