Timeline for Flatness criterion for $I$-adic ring: $I$-torsion free
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 25 at 16:58 | comment | added | Piotr Achinger | No, the maximal ideal of $k[[x,y]]$ is torsion-free but not flat. | |
| Jul 25, 2021 at 10:01 | comment | added | Bryan Shih | Now looking back: is having no $I$-torsion the same as being flat when $R$ is of type (N) in the text? (N)=Noetherian adic with ideal of defitiion $I$. (page 162). In otherwords is iii of definition 3 equivalent to being flat? | |
| Jul 24, 2021 at 23:30 | vote | accept | Bryan Shih | ||
| Jul 24, 2021 at 16:25 | history | answered | Will Sawin | CC BY-SA 4.0 |