{
  "id": "1809.02171",
  "version": "v1",
  "published": "2018-09-06T18:51:44.000Z",
  "updated": "2018-09-06T18:51:44.000Z",
  "title": "Prelinear Hilbert algebras",
  "authors": [
    "Jose Luis Castiglioni",
    "Sergio A. Celani",
    "Hernan J. San Martin"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we give an explicit description of the left adjoint of the forgetful functor from the algebraic category of G\\\"odel algebras (i.e., prelinear Heyting algebras) to the algebraic category of bounded prelinear Hilbert algebras. We apply this result in order to study possible descriptions of the coproduct of two finite algebras in the algebraic category of prelinear Hilbert algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-06T18:51:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "algebraic category",
      "bounded prelinear hilbert algebras",
      "prelinear heyting algebras",
      "left adjoint",
      "finite algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}