{
  "id": "2409.10148",
  "version": "v1",
  "published": "2024-09-16T10:20:35.000Z",
  "updated": "2024-09-16T10:20:35.000Z",
  "title": "Transfer principles for forking and dividing in expansions of pure short exact sequences of Abelian groups",
  "authors": [
    "Akash Hossain"
  ],
  "comment": "23 pages, 1 figure, comments welcome",
  "categories": [
    "math.LO"
  ],
  "abstract": "In their article about distality in valued fields, Aschenbrenner, Chernikov, Gehret and Ziegler proved resplendent Ax-Kochen-Ershov principles for quantifier elimination in pure short exact sequences of Abelian structures. We study how their work relates to forking, and we prove Ax-Kochen-Ershov principles for forking and dividing in this setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-16T10:20:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C52",
      "03C45",
      "03C60",
      "03C65"
    ],
    "keywords": [
      "pure short exact sequences",
      "abelian groups",
      "transfer principles",
      "expansions",
      "resplendent ax-kochen-ershov principles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}