{
  "id": "2407.14840",
  "version": "v1",
  "published": "2024-07-20T10:48:27.000Z",
  "updated": "2024-07-20T10:48:27.000Z",
  "title": "Exponential Fields: Lack of Generic Derivations",
  "authors": [
    "Fornasiero Antongiulio",
    "Giuseppina Terzo"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We investigate the existence of \"generic derivations\" in exponential fields. We show that exponential fields without additional compatibility conditions between derivation and exponentiation cannot support a generic derivation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-20T10:48:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "03C10",
      "12H05",
      "12L12"
    ],
    "keywords": [
      "generic derivation",
      "exponential fields",
      "additional compatibility conditions",
      "exponentiation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}