{
  "id": "2003.10653",
  "version": "v1",
  "published": "2020-03-24T04:26:59.000Z",
  "updated": "2020-03-24T04:26:59.000Z",
  "title": "Topological conjugacy and its relations for symbolic matrices",
  "authors": [
    "Naghmeh Akhavan",
    "Dawoud Ahmadi Dastjerdi"
  ],
  "comment": "18 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In 1988 Boyle and Krieger defined sub-matrices for representation matrices of sofic shift. This paper presents some details of relations between integral sub-matrices and representation matrices. Besides, we express a new version of the Decomposition Theorem by sub-matrices. Generally, strong shift equivalence (conjugacy) of sub-matrices does not apply to representation matrices, but we show that this result can be achieved by the fixed diagonal integral sub-matrix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-24T04:26:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B50"
    ],
    "keywords": [
      "symbolic matrices",
      "topological conjugacy",
      "representation matrices",
      "fixed diagonal integral sub-matrix",
      "strong shift equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}