Timeline for How to prove a Proposition of Rouquier?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 20, 2014 at 18:45 | comment | added | Jeremy Rickard | @ParksJonehan There is always a finitely generated (in fact, cyclic) module whose projective dimension is equal to the global dimension of the ring. So $W$ can be chosen to be finitely generated, in which case, if the global dimension is finite and the ring is noetherian, its minimal projective resolution is a bounded complex of finitely generated projectives, so $W$ is perfect. | |
| Aug 20, 2014 at 2:54 | comment | added | Parks Jonehan | We know that objects in $A-perf$ are bounded complexes of finite generated projective A-modules, why $W \in A-perf$? | |
| Aug 19, 2014 at 23:37 | history | edited | David White | CC BY-SA 3.0 |
Fixed tex typo
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| Aug 19, 2014 at 21:53 | history | answered | Alex Dugas | CC BY-SA 3.0 |