{
  "id": "2301.09529",
  "version": "v1",
  "published": "2023-01-23T16:27:11.000Z",
  "updated": "2023-01-23T16:27:11.000Z",
  "title": "Implication in sharply paraorthomodular and relatively paraorthomodular posets",
  "authors": [
    "Ivan Chajda",
    "Davide Fazio",
    "Helmut Länger",
    "Antonio Ledda",
    "Jan Paseka"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper we show that several classes of partially ordered structures having paraorthomodular reducts, or whose sections may be regarded as paraorthomodular posets, admit a quite natural notion of implication, that admits a suitable notion of adjointness. Within this framework, we propose a smooth generalization of celebrated Greechie's theorems on amalgams of finite Boolean algebras to the realm of Kleene lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-23T16:27:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03G12",
      "03G25",
      "03G10",
      "03B47",
      "03B60",
      "06A11",
      "06C15"
    ],
    "keywords": [
      "relatively paraorthomodular posets",
      "sharply paraorthomodular",
      "implication",
      "finite boolean algebras",
      "natural notion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}