{
  "id": "0808.2522",
  "version": "v1",
  "published": "2008-08-19T18:00:11.000Z",
  "updated": "2008-08-19T18:00:11.000Z",
  "title": "Unification theorems in algebraic geometry",
  "authors": [
    "E. Daniyarova",
    "A. Myasnikov",
    "V. Remeslennikov"
  ],
  "comment": "28 pages",
  "categories": [
    "math.AG",
    "math.LO"
  ],
  "abstract": "In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along the way we lay down foundations of algebraic geometry over arbitrary algebraic structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-19T18:00:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70G55",
      "03C60"
    ],
    "keywords": [
      "algebraic geometry",
      "unification theorems",
      "study finitely generated limit algebras",
      "arbitrary algebraic structures",
      "arbitrary operations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.2522D"
    }
  }
}