{
  "id": "2407.00083",
  "version": "v1",
  "published": "2024-06-24T14:49:22.000Z",
  "updated": "2024-06-24T14:49:22.000Z",
  "title": "A step to compute the determinant of finite semigroups not in ECom",
  "authors": [
    "M. H. Shahzamanian"
  ],
  "categories": [
    "math.GR",
    "math.RT"
  ],
  "abstract": "The purpose of this paper is to begin studying the computation of the nonzero determinant of semigroups within the class of finite semigroups that possesses a pair of non-commutative idempotents. This paper focuses on a class of these semigroups introduced as $\\ll$-smooth semigroups. This computation is applicable in the context of the extension of the MacWilliams theorem for codes over semigroup algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-24T14:49:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite semigroups",
      "nonzero determinant",
      "semigroup algebras",
      "paper focuses",
      "smooth semigroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}