{
  "id": "2108.13999",
  "version": "v1",
  "published": "2021-08-31T17:50:00.000Z",
  "updated": "2021-08-31T17:50:00.000Z",
  "title": "The domination monoid in henselian valued fields",
  "authors": [
    "Martin Hils",
    "Rosario Mennuni"
  ],
  "comment": "35 pages",
  "categories": [
    "math.LO"
  ],
  "abstract": "We study the domination monoid in various classes of structures arising from the model theory of henselian valuations, including RV-expansions of henselian valued fields of residue characteristic 0 (and, more generally, of benign valued fields), p-adically closed fields, monotone D-henselian differential valued fields with many constants, regular ordered abelian groups, and pure short exact sequences of abelian structures. We obtain Ax-Kochen-Ershov type reductions to suitable fully embedded families of sorts in quite general settings, and full computations in concrete ones.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-31T17:50:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "03C60",
      "03C64",
      "12J10",
      "12L12"
    ],
    "keywords": [
      "henselian valued fields",
      "domination monoid",
      "monotone d-henselian differential valued fields",
      "pure short exact sequences",
      "regular ordered abelian groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}