{
  "id": "math/0501331",
  "version": "v1",
  "published": "2005-01-20T17:38:32.000Z",
  "updated": "2005-01-20T17:38:32.000Z",
  "title": "On automorphisms of categories of free algebras of some varieties",
  "authors": [
    "Boris Plotkin",
    "Grigori Zhitomirski"
  ],
  "comment": "32 pages. Continuation of math.CT/0411408, 2004",
  "categories": [
    "math.RA",
    "math.CT"
  ],
  "abstract": "Given a variety of universal algebras. A method is suggested for describing automorphisms of a category of free algebras of this variety. Applying this general method all automorphisms of such categories are found in two cases: 1) for the variety of all free associative K-algebras over an infinite field K and 2) for the variety of all representations of groups in unital R-modules over a commutative associative ring R with unit. It turns out that they are almost inner in a sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-20T17:38:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "08B20",
      "03C05",
      "16B50",
      "20C07"
    ],
    "keywords": [
      "free algebras",
      "general method",
      "free associative k-algebras",
      "universal algebras",
      "infinite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1331P"
    }
  }
}