{
  "id": "1806.00464",
  "version": "v1",
  "published": "2018-06-01T17:42:34.000Z",
  "updated": "2018-06-01T17:42:34.000Z",
  "title": "Model theory of fields with free operators in positive characteristic",
  "authors": [
    "Özlem Beyarslan",
    "Daniel Max Hoffmann",
    "Moshe Kamensky",
    "Piotr Kowalski"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We give algebraic conditions about a finite algebra $B$ over a perfect field of positive characteristic, which are equivalent to the companionability of the theory of fields with \"$B$-operators\" (i.e. the operators coming from homomorphisms into tensor products with $B$). We show that, in the most interesting case of a local $B$, these model companions are strictly stable, and we also describe the forking relation there.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-01T17:42:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "12H05",
      "03C45"
    ],
    "keywords": [
      "positive characteristic",
      "free operators",
      "model theory",
      "algebraic conditions",
      "finite algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}