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Aug 19, 2023 at 18:22 comment added Sherlock does it fail to be exact at the ends ( or also at the middle)?... and in that case is it exact on $X-Z$?
Aug 19, 2023 at 17:15 comment added Sasha If $s$ is not regular, the sequence is not exact.
Aug 19, 2023 at 16:50 vote accept Sherlock
Aug 19, 2023 at 16:49 comment added Sherlock thanks. In this case, If $s$ is not necessarily regular, can we say anything about existence of such exact sequence?
Aug 19, 2023 at 16:40 comment added Sasha Where do you think this could be used?
Aug 19, 2023 at 16:17 comment added Sherlock this is under the assumption $r >n$, right?
Aug 19, 2023 at 16:07 history answered Sasha CC BY-SA 4.0