{
  "id": "1501.06410",
  "version": "v1",
  "published": "2015-01-26T14:25:28.000Z",
  "updated": "2015-01-26T14:25:28.000Z",
  "title": "Arens regularity of certain weighted semigroup algebras and countability",
  "authors": [
    "B. Khodsiani",
    "A. Rejali",
    "H. R. Ebrahimi Vishki"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "It is known that every countable semigroup admits a weight w for which the semigroup algebra l_1(S,w) is Arens regular and no uncountable group admits such a weight; see [4]. In this paper, among other things, we show that for a large class of semigroups, the Arens regularity of the weighted semigroup algebra l_1(S,w) implies the countability of S.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-26T14:25:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A10",
      "43A20",
      "46H20",
      "20M18"
    ],
    "keywords": [
      "weighted semigroup algebra",
      "arens regularity",
      "countability",
      "countable semigroup admits",
      "large class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150106410K"
    }
  }
}