Timeline for Is flatness preserved under exterior power
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 6, 2016 at 3:40 | vote | accept | Ron | ||
| Mar 5, 2016 at 19:50 | comment | added | user26857 | Cross-posted: math.stackexchange.com/questions/1683803/… | |
| Mar 5, 2016 at 12:56 | answer | added | Jeremy Rickard | timeline score: 6 | |
| Mar 5, 2016 at 11:55 | comment | added | Piotr Achinger | @Vinteuil you are right, I misunderstood the question. Perhaps it is still true that an $A$-flat $B$-module is a colimit of $A$-free $B$-modules, but it is unclear whether $\bigwedge^m_B$ of an $A$-free $B$-module is $A$-free... | |
| Mar 5, 2016 at 10:54 | comment | added | Piotr Achinger | I think yes: (1) by Lazard's theorem, flat modules are colimits of free modules, (2) your functors commute with colimits and (3) they map free modules to free modules. | |
| Mar 5, 2016 at 9:54 | history | asked | Ron | CC BY-SA 3.0 |