{
  "id": "2304.02224",
  "version": "v1",
  "published": "2023-04-05T04:37:09.000Z",
  "updated": "2023-04-05T04:37:09.000Z",
  "title": "Minimal Axiomatization of Boolean Algebras",
  "authors": [
    "Eugene Zhang"
  ],
  "comment": "13 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "In this paper, we present a new axiomatic system that is a minimal axiomatization of Boolean algebras. Furthermore, the symmetric difference is shown to be algebraically analogous to the modular difference of two numbers, which also means that a Boolean ring is generally impossible. Finally, a new method to prove equivalent relations in a Boolean algebra is also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-05T04:37:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03G05",
      "03G25"
    ],
    "keywords": [
      "boolean algebra",
      "minimal axiomatization",
      "axiomatic system",
      "equivalent relations",
      "symmetric difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}