{
  "id": "1509.03774",
  "version": "v1",
  "published": "2015-09-12T20:01:24.000Z",
  "updated": "2015-09-12T20:01:24.000Z",
  "title": "Implication Zroupoids I",
  "authors": [
    "Juan M. Cornejo",
    "Hanamantagouda P. Sankappanavar"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "It is a well known fact that Boolean algebras can be defined using only implication and a constant. In 2012, this result was extended to De Morgan algebras in [11] which led Sankappanavar to introduce, and investigate, the variety I of implication zroupoids (I- zroupoids) generalizing De Morgan algebras. The present paper, a continuation of [11], is devoted to investigating the structure of the lattice of subvarieties of I, and also to making further contributions to the theory of implication zroupoids. Several new subvarieties of I are introduced and their relationships with each other and with the subvarieties of I, which were investigated in [11], are explored.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-12T20:01:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06D30",
      "08B15",
      "20N02"
    ],
    "keywords": [
      "implication zroupoids",
      "morgan algebras",
      "subvarieties",
      "boolean algebras",
      "relationships"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150903774C"
    }
  }
}