{
  "id": "2002.04910",
  "version": "v1",
  "published": "2020-02-12T11:03:05.000Z",
  "updated": "2020-02-12T11:03:05.000Z",
  "title": "Semigroups for which every right congruence of finite index is finitely generated",
  "authors": [
    "Craig Miller"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We call a semigroup $S$ f-noetherian if every right congruence of finite index on $S$ is finitely generated. We prove that every finitely generated semigroup is f-noetherian, and investigate whether the properties of being f-noetherian and being finitely generated coincide for various semigroup classes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-12T11:03:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20M10",
      "20M30"
    ],
    "keywords": [
      "finite index",
      "right congruence",
      "f-noetherian",
      "semigroup classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}