On distant-isomorphisms of projective lines

• Autores: Andrea Blunck, Hans Havlicek
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 69, Nº. 1-2, 2005, págs. 146-163
• Idioma: inglés
• DOI: 10.1007/s00010-004-2745-7
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• Resumen

  • 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.