Timeline for On some modules with bounded syzygies
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 21, 2017 at 22:20 | comment | added | Alex Dugas | Yes, the trivial extensions of this type of Nakayama algebra are an interesting class of examples. They tend to be periodic, but the periods of the simples are somewhat irregular. | |
| Feb 21, 2017 at 22:07 | comment | added | Mare | sorry, I think I did not wait long enough. It might be that the syzygies grow very slowly and I didnt wait long enough. So I think the dimensions are not bounded (but it really looked like that calculating syzygies till 100). | |
| Feb 21, 2017 at 21:26 | comment | added | Mare | Taking the Nakayama (quiver) algebra with kupisch series ([3,3,3,3,3,3,3,2,1] and then its trivial extension, my Pc suggests it has a simple module with bounded Omegas but which is not periodic. It is over a finite field with characteristic 3, but I think that it does not matter what the field is for that example, since the relations are field independent. | |
| Feb 21, 2017 at 21:23 | comment | added | Mare | Oh, right I knew that with the complexity once but forget about it... | |
| Feb 21, 2017 at 20:56 | history | answered | Alex Dugas | CC BY-SA 3.0 |