{
  "id": "2309.12465",
  "version": "v1",
  "published": "2023-09-21T20:17:35.000Z",
  "updated": "2023-09-21T20:17:35.000Z",
  "title": "Simple Lie rings of Morley rank 4",
  "authors": [
    "Adrien Deloro",
    "Jules Tindzogho Ntsiri"
  ],
  "categories": [
    "math.LO",
    "math.RA"
  ],
  "abstract": "We prove the Lie ring equivalent of the Cherlin-Zilber conjecture -- in characteristic 0, for any rank and -- in characteristic not 2, 3 for rank less than or equal to 4. Both are open in the group case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-21T20:17:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B50",
      "03C60",
      "20F11"
    ],
    "keywords": [
      "simple lie rings",
      "morley rank",
      "lie ring equivalent",
      "cherlin-zilber conjecture",
      "characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}