{
  "id": "1002.3562",
  "version": "v3",
  "published": "2010-02-18T16:18:48.000Z",
  "updated": "2011-02-02T07:23:37.000Z",
  "title": "Algebraic geometry over algebraic structures II: Foundations",
  "authors": [
    "Evelina Daniyarova",
    "Alexei Myasnikov",
    "Vladimir Remeslennikov"
  ],
  "comment": "55 pages",
  "categories": [
    "math.AG",
    "math.LO"
  ],
  "abstract": "In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-02T07:23:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C99",
      "08A99",
      "14A99"
    ],
    "keywords": [
      "algebraic geometry",
      "foundations",
      "arbitrary algebraic structure",
      "unification theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3562D"
    }
  }
}