{
  "id": "1304.0226",
  "version": "v1",
  "published": "2013-03-31T16:47:23.000Z",
  "updated": "2013-03-31T16:47:23.000Z",
  "title": "On distant-isomorphisms of projective lines",
  "authors": [
    "Andrea Blunck",
    "Hans Havlicek"
  ],
  "journal": "Aequationes Math. 69 (2005), 146-163",
  "categories": [
    "math.AG",
    "math.RA"
  ],
  "abstract": "We determine all distant-isomorphisms between projective lines over semilocal rings. In particular, for those semisimple rings that do not have a simple component which is isomorphic to a field, every distant isomorphism arises from a Jordan isomorphism of rings and a projectivity. We show this by virtue of a one-one correspondence linking the projective line over a semisimple ring with a Segre product of Grassmann spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-31T16:47:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51C05",
      "51A10",
      "51A45",
      "17C50"
    ],
    "keywords": [
      "projective line",
      "distant-isomorphisms",
      "distant isomorphism arises",
      "semilocal rings",
      "jordan isomorphism"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0226B"
    }
  }
}