{
  "id": "1804.08136",
  "version": "v1",
  "published": "2018-04-22T16:54:59.000Z",
  "updated": "2018-04-22T16:54:59.000Z",
  "title": "Varieties of PBZ*-lattices",
  "authors": [
    "Roberto Giuntini",
    "Claudia Mureşan",
    "Francesco Paoli"
  ],
  "comment": "36 pages",
  "categories": [
    "math.LO",
    "math.RA"
  ],
  "abstract": "We investigate the structure theory of some subvarieties of the variety of \\emph{PBZ*-lattices}. These lattices with additional structure originate in the foundations of quantum mechanics and can be viewed as a common generalisation of orthomodular lattices and Kleene algebras expanded by an extra unary operation. We explore the connections between (subvarieties of) PBZ*-lattices and some neighbouring classes of algebras, including Stone algebras, as well as the relationships with the theories of subtractive and binary discriminator varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-22T16:54:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary discriminator varieties",
      "additional structure originate",
      "extra unary operation",
      "subvarieties",
      "stone algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}