{
  "id": "1203.6056",
  "version": "v1",
  "published": "2012-03-27T19:34:49.000Z",
  "updated": "2012-03-27T19:34:49.000Z",
  "title": "On Generalized I-Algebras and 4-valued Modal Algebras",
  "authors": [
    "Aldo V. Figallo",
    "Paolo Landini"
  ],
  "journal": "Rep. Math. Logic No. 29 (1995), 3-18 (1996)",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we establish a new characterization of 4-valued modal algebras considered by A. Monteiro. In order to obtain this characterization we introduce a new class of algebras named generalized I-algebras. This class contains strictly the class of C-algebras defined by Y. Komori as an algebraic counterpart of the infinite-valued implicative Lukasiewicz propositional calculus. On the other hand, the relationship between I-algebras and conmutative BCK-algebras, defined by S. Tanaka in 1975, allows us to say that in a certain sense G-algebras are also a generalization of these latter algebras",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-27T19:34:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "modal algebras",
      "infinite-valued implicative lukasiewicz propositional calculus",
      "algebraic counterpart",
      "characterization",
      "sense g-algebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6056F"
    }
  }
}