{
  "id": "0907.2925",
  "version": "v1",
  "published": "2009-07-16T20:20:31.000Z",
  "updated": "2009-07-16T20:20:31.000Z",
  "title": "aleph_0-categorical Structures: Endomorphisms and Interpretations",
  "authors": [
    "Manuel Bodirsky",
    "Markus Junker"
  ],
  "comment": "15 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We extend the Ahlbrandt--Ziegler analysis of interpretability in aleph_0-categorical structures by showing that existential interpretation is controlled by the monoid of self--embeddings and positive existential interpretation of structures without constant endomorphisms is controlled by the monoid of endomorphisms in the same way as general interpretability is controlled by the automorphism group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-16T20:20:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C35",
      "03C40",
      "08A35",
      "08A70",
      "20B27",
      "20M20"
    ],
    "keywords": [
      "structures",
      "ahlbrandt-ziegler analysis",
      "constant endomorphisms",
      "automorphism group",
      "positive existential interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.2925B"
    }
  }
}