{
  "id": "1402.4592",
  "version": "v1",
  "published": "2014-02-19T08:58:53.000Z",
  "updated": "2014-02-19T08:58:53.000Z",
  "title": "Ordered groupoids and the holomorph of an inverse semigroup",
  "authors": [
    "N. D. Gilbert",
    "E. A. McDougall"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids. We compare the holomorph with the monoid of mappings that preserve the ternary heap operation on an inverse semigroup: for groups these two constructions coincide. We present detailed calculations for semilattices of groups and for the polycyclic monoids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-19T08:58:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M18"
    ],
    "keywords": [
      "inverse semigroup",
      "ordered groupoids",
      "ternary heap operation",
      "constructions coincide",
      "cartesian closed structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4592G"
    }
  }
}