Timeline for On $\text{depth}_S\left(\dfrac {S}{JS+xS}\right)$, when $\text{depth}_R(R/J)=0$, and $R\to S$ is a certain flat map of local rings
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 24, 2022 at 13:59 | vote | accept | feder | ||
| Nov 22, 2022 at 17:38 | comment | added | Mohan | @feder $S/JS+XS=R/J$. | |
| Nov 22, 2022 at 17:34 | comment | added | feder | Why is it trivial in that case? What would be a non-zero element in the socle of $\dfrac{S}{JS+xS}$? | |
| Nov 22, 2022 at 14:18 | comment | added | Mohan | @feder In the case you mention, it is trivially true. | |
| Nov 22, 2022 at 6:58 | comment | added | feder | Thank you. Do you think the claim would have been true if one just takes $S=R[X]_{(\mathfrak m, X)}$ ? | |
| Nov 21, 2022 at 0:38 | history | answered | Mohan | CC BY-SA 4.0 |