Timeline for Finding modules to check for finite global dimension
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 27, 2017 at 15:14 | comment | added | Matthew Pressland | Thanks! Unfortunately it doesn't help me with this case immediately...although it does suggest that there is no particular reason to ask about $\Omega^2(S_i)$, but rather $\Omega^{n+2}(S_i)$ for any non-negative $n$ should be just as good, and may be easier to describe in some cases. | |
| Sep 27, 2017 at 12:12 | comment | added | Mare | the duals of 3.10 3.11 of arxiv.org/pdf/1506.03337.pdf . | |
| Sep 27, 2017 at 11:37 | history | edited | Matthew Pressland | CC BY-SA 3.0 |
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| Sep 27, 2017 at 11:33 | comment | added | Matthew Pressland | This I don't know of, although it might be possible—the map expressing $N_i$ as a kernel is a little bit more explicit in this case than in general. Do you have a more precise reference in the Chen–Koenig paper? This would be interesting to look at, but I couldn't find it immediately by skimming. | |
| Sep 27, 2017 at 9:27 | comment | added | Mare | Thanks, I was hoping for a more explicit description of $N_i$. Taking isntead of $S_i$ the indecomposable injective $B$-modules such a thing is possible and one can characterise finite Gorenstein dimension, as was done by Chen and Koenig. | |
| Sep 27, 2017 at 9:23 | history | answered | Matthew Pressland | CC BY-SA 3.0 |