Timeline for Numerator-cancellable Modules
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2018 at 21:39 | comment | added | Mohan | One of the important cases would be, when does a finitely generated free module satisfy your property. For example, if $P\oplus R=F$, $F$ a free module, one can ask whether $P$ is free (otherwise $F$ fails your property). There is a wealth if information about this so called stably free modules in the literature. | |
| Sep 23, 2018 at 18:02 | comment | added | Rajkarov | Sorry, I mean that is true for finite dimensional $K$-vector spaces. | |
| Sep 23, 2018 at 17:58 | comment | added | YCor | If $K$ is a field, $M$ is, say, of infinite countable dimension, $M_1$ is a subspace of infinite dimension and codimension, and $M_2=0$, then $M/M_1$ and $M/M_2$ are isomorphic while $M_1$ and $M_2$ are not. So I don't understand your claim about fields. | |
| Sep 23, 2018 at 17:54 | history | asked | Rajkarov | CC BY-SA 4.0 |