{
  "id": "1602.07583",
  "version": "v1",
  "published": "2016-02-21T21:06:29.000Z",
  "updated": "2016-02-21T21:06:29.000Z",
  "title": "Free algebras of discriminator varieties generated by finite algebras are atomic",
  "authors": [
    "H. Andréka",
    "I. Németi"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We prove that all definable pre-orders are atomic, in a finitely generated free algebra of a discriminator variety of finite similarity type which is generated by its finite members.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-21T21:06:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C05",
      "08B20",
      "08B05",
      "06E25",
      "03G15"
    ],
    "keywords": [
      "discriminator variety",
      "finite algebras",
      "finite similarity type",
      "finitely generated free algebra",
      "finite members"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}