Timeline for Duals and Tensor products
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 23, 2011 at 9:57 | comment | added | Sasha | This is absolutely right. The convergence is a separate issue. | |
| Feb 22, 2011 at 22:38 | comment | added | Neil Strickland | I'm not sure about the convergence of these spectral sequences in general. You are OK if $M$ and $N$ admit resolutions of finite length by finitely generated projective modules, which holds automatically if $A$ is a regular local ring and $M$ and $N$ are finitely generated, for example. If $A$ is not Noetherian then it can happen that $M$ is finitely generated but that it has no resolution by finitely generated projectives. I suspect that convergence fails in this case. | |
| Feb 22, 2011 at 21:31 | history | answered | Sasha | CC BY-SA 2.5 |