{
  "id": "2007.14459",
  "version": "v1",
  "published": "2020-07-28T20:06:34.000Z",
  "updated": "2020-07-28T20:06:34.000Z",
  "title": "A Categorial Equivalence for semi-Nelson algebras",
  "authors": [
    "Juan Manuel Cornejo",
    "Andrés Gallardo",
    "Ignacio Viglizzo"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "We present a category equivalent to that of semi-Nelson algebras. The objects in this category are pairs consisting of a semi-Heyting algebra and one of its filters. The filters must contain all the dense elements of the semi-Heyting algebra and satisfy an additional technical condition. We also show that in the case of dually hemimorphic semi-Nelson algebras, the filters are not necessary and the category is equivalent to that of dually hemimorphic semi-Heyting algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-28T20:06:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03G25"
    ],
    "keywords": [
      "categorial equivalence",
      "dually hemimorphic semi-nelson algebras",
      "dually hemimorphic semi-heyting algebras",
      "category equivalent",
      "additional technical condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}