Timeline for Powers of elements in an Artinian Ring
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 5, 2014 at 17:50 | comment | added | Neil Epstein | @Ketil Assuming the field isn't of characteristic 2, the above is not a counterexample, since $(x+y)^2 = 2xy \neq 0$, so $t \neq 2$. | |
| Jun 5, 2014 at 7:46 | comment | added | Ketil Tveiten | It may be too early in the morning for this, but isn't $k[[x,y]]/(x^2,y^2)$ a counterexample? Here $\mathfrak{m}=(x,y)$, so $\mathfrak{m}^2=(xy)\neq 0$ (i.e. $e>2$), but $x^2=y^2=0$ (i.e. $t=2$). | |
| May 24, 2014 at 20:55 | history | edited | Mohan | CC BY-SA 3.0 |
deleted 20 characters in body
|
| May 24, 2014 at 20:36 | history | answered | Mohan | CC BY-SA 3.0 |