On distant-isomorphisms of projective lines

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Erscheinungsjahr:
2005
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Text
Schlagworte:
  • Distant-isomorphism
  • Grass-mann space
  • Jordan homomorphism
  • Projective line over a ring
  • Segre product
Beschreibung:
  • 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. © Birkhäuser Verlag, Basel, 2005.
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oai:www.edit.fis.uni-hamburg.de:publications/5cc4b5f3-33f3-4dcd-8f9e-f2591a37a964