On distant-isomorphisms of projective lines

Link:

https://doi.org/10.1007/s00010-004-2745-7

Autor/in:

Erscheinungsjahr:

2005

Medientyp:

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.

Lizenz:

info:eu-repo/semantics/closedAccess

Quellsystem:

Forschungsinformationssystem der UHH

Interne Metadaten

Quelldatensatz: oai:www.edit.fis.uni-hamburg.de:publications/5cc4b5f3-33f3-4dcd-8f9e-f2591a37a964