{
  "id": "1707.09131",
  "version": "v1",
  "published": "2017-07-28T07:36:37.000Z",
  "updated": "2017-07-28T07:36:37.000Z",
  "title": "Every decidable pseudovariety of abelian groups is completely tame",
  "authors": [
    "Khadijeh Alibabaei"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "It has been shown that the proper, non-locally finite pseudovarieties of abelian groups are not tame with respect to the canonical signature. In this paper, we show that every decidable, proper, non-locally finite pseudovariety of abelian groups is completely tame with respect to a further enlarged implicit signature. This theorem yields as a corollary that a pseudovariety of abelian groups is decidable if and only if it is completely tame.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-28T07:36:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20M05",
      "20M07",
      "20F10",
      "20K01"
    ],
    "keywords": [
      "abelian groups",
      "decidable pseudovariety",
      "non-locally finite pseudovariety",
      "theorem yields",
      "enlarged implicit signature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}