{
  "id": "2201.12966",
  "version": "v3",
  "published": "2022-01-31T02:34:11.000Z",
  "updated": "2022-06-14T13:57:45.000Z",
  "title": "The theorems on freedom for relatively free Lie algebras with a relations",
  "authors": [
    "A. F. Krasnikov"
  ],
  "comment": "16 pages, in Russian",
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we prove the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssatz for relatively free Lie algebras (analogous with the well-known result of Kharlampovich).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-06-14T13:57:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B01"
    ],
    "keywords": [
      "relatively free lie algebras",
      "well-known result",
      "single relation",
      "generalized freiheitssatz",
      "kharlampovich"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}