{
  "id": "1901.01564",
  "version": "v1",
  "published": "2019-01-06T16:14:45.000Z",
  "updated": "2019-01-06T16:14:45.000Z",
  "title": "Identities of the Kauffman Monoid $\\mathcal{K}_3$",
  "authors": [
    "Yuzhu Chen",
    "Xun Hu",
    "N. V. Kitov",
    "Yanfeng Luo",
    "M. V. Volkov"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We give a transparent combinatorial characterization of the identities satisfied by the Kauffman monoid $\\mathcal{K}_3$. Our characterization leads to a polynomial time algorithm to check whether a given identity holds in $\\mathcal{K}_3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-06T16:14:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M05",
      "20M07"
    ],
    "keywords": [
      "kauffman monoid",
      "transparent combinatorial characterization",
      "polynomial time algorithm",
      "identity holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}