{
  "id": "1803.10087",
  "version": "v2",
  "published": "2018-03-27T14:04:56.000Z",
  "updated": "2020-11-20T15:21:30.000Z",
  "title": "$\\aleph_0$-categoricity of semigroups II",
  "authors": [
    "T. Quinn-Gregson"
  ],
  "categories": [
    "math.LO",
    "math.RA"
  ],
  "abstract": "A countable semigroup is $\\aleph_0$-categorical if it can be characterised, up to isomorphism, by its first-order properties. In this paper we continue our investigation into the $\\aleph_0$-categoricity of semigroups. Our main results are a complete classification of $\\aleph_0$-categorical orthodox completely 0-simple semigroups, and descriptions of the $\\aleph_0$-categorical members of certain classes of strong semilattices of semigroups.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2020-11-20T15:21:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "categoricity",
      "first-order properties",
      "main results",
      "complete classification",
      "strong semilattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}