Abstract
We describe the set of lines of the three dimensional projective space over a not necessarily commutative field K as the projective line over the ring Mat(2,K) of 2x2-matrices with entries in K. Using this description, we investigate some families of lines such as reguli and spreads.
| Lingua originale | Inglese |
|---|---|
| pagine (da-a) | 189-202 |
| Numero di pagine | 14 |
| Rivista | MITTEILUNGEN DER MATHEMATISCHEN GESELLSCHAFT IN HAMBURG |
| Stato di pubblicazione | Pubblicato - 2008 |
Keywords
- parallelism
- projective line
- projective space