Timeline for Why are noetherian rings such natural objects in algebraic geometry?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 16, 2013 at 21:30 | answer | added | Chris Leary | timeline score: 2 | |
| Jul 3, 2011 at 1:27 | vote | accept | teil | ||
| Jul 2, 2011 at 8:54 | answer | added | Martin Brandenburg | timeline score: 11 | |
| Jul 2, 2011 at 8:00 | answer | added | Karl Schwede | timeline score: 12 | |
| Jul 2, 2011 at 7:31 | comment | added | George C. Modoi | I don't claim my comment gives a general explanation, it only indicates an example in which the Noetherian condition seems to be essential: Noetherian rings are characterized by the fact that arbitrary direct sums of injective modules is injective too. How is related this fact to some generalizations of Grothendieck duality, it may be seen from papers like H. Krause, "The stable derived category of a noetherian scheme", Compos. Math. 141 (2005), 1128-1162, or A. Neeman, "The homotopy category of flat modules, and Grothendieck duality," Invent. Math., 174 (2008), pp. 255-308. | |
| Jul 2, 2011 at 4:07 | answer | added | Sándor Kovács | timeline score: 30 | |
| Jul 2, 2011 at 2:56 | comment | added | teil | @Qiaochu - Thanks for the link, I didn't know it. But it doesn't quite answer what I had in mind. I was actually thinking of saying in the question "graded algebra (with perhaps some finiteness condition)", perhaps I should have. | |
| Jul 2, 2011 at 2:39 | answer | added | JBorger | timeline score: 39 | |
| Jul 2, 2011 at 2:19 | comment | added | Qiaochu Yuan | Have you seen mathoverflow.net/questions/63715/… ? | |
| Jul 2, 2011 at 1:59 | history | asked | teil | CC BY-SA 3.0 |