Timeline for A ring such that all projectives are stably free but not all projectives are free?
Current License: CC BY-SA 2.5
4 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Jun 9, 2010 at 23:42 | comment | added | Victor Protsak | The situation for noncommutative rings is substantially different (see McConnell and Robson's book). For example, every projective module of rank at least 2 over the first Weyl algebra is free. But there are (many) nonprincipal left ideals. The proofs aren't too hard. | |
Jun 9, 2010 at 19:33 | comment | added | Seamus | I don't think it's been published yet, but I'll see if I can get an electronic copy for you. Swan's paper is worth having a look at but it is very difficult and long so it's a rather major undertaking! | |
Jun 9, 2010 at 19:16 | comment | added | Hailong Dao | Hi Seamus, thanks! The result looks very interesting, do you have a reference for Frank's paper? | |
Jun 9, 2010 at 19:09 | history | answered | Seamus | CC BY-SA 2.5 |