Timeline for On the finiteness of an Auslander-Reiten component
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 2, 2021 at 12:37 | vote | accept | mathStudent | ||
| Jan 1, 2021 at 16:13 | comment | added | mathStudent | Thank you, this helped a lot :) | |
| Jan 1, 2021 at 15:37 | history | edited | Matthew Pressland | CC BY-SA 4.0 |
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| Jan 1, 2021 at 15:34 | comment | added | Matthew Pressland | Oops, sorry for the confusion: the same statement holds for paths ending at $v$ though (by a very similar argument, or by just considering the opposite quiver, which is also locally finite). I changed the statement in my answer to be more compatible with the proof you cited. | |
| Jan 1, 2021 at 15:31 | history | edited | Matthew Pressland | CC BY-SA 4.0 |
added 45 characters in body
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| Jan 1, 2021 at 12:17 | comment | added | mathStudent | thank you very much! But how does the proof show that very vertex of $\Gamma$ is reachable from one of the finitely many indecomposable injectives via a path of length at most $r$? Doesn't the proof only show that from each vertex of $\Gamma$ there exists a path of length at most $r$ to one of the indecomposable injectives? | |
| Jan 1, 2021 at 11:18 | history | answered | Matthew Pressland | CC BY-SA 4.0 |