{
  "id": "2006.15745",
  "version": "v1",
  "published": "2020-06-28T23:38:48.000Z",
  "updated": "2020-06-28T23:38:48.000Z",
  "title": "On lattice of congruences on graph inverse semigroups",
  "authors": [
    "Yongle Luo",
    "Zhengpan Wang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "Congruences on a graph inverse semigroup were recently described in terms of the underline graph. Based on such descriptions, we show that the lattice of congruences on a graph inverse semigroup is upper semimodular but not lower semimodular.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-28T23:38:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M18"
    ],
    "keywords": [
      "graph inverse semigroup",
      "congruences",
      "lower semimodular",
      "underline graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}