Timeline for Is $k[x_1, \ldots, x_n]$ always an integral extension of $k[f_1, \ldots, f_n]$ for a regular sequence $(f_1, \ldots, f_n)$?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 30, 2011 at 23:21 | vote | accept | Dave M | ||
| May 30, 2011 at 23:21 | comment | added | Dave M | Ah, thanks. I meant homogeneous regular sequences actually (it's all I've been working with, so I forgot to even mention it), but you answered the question as presented so I'll give you the check mark. | |
| May 30, 2011 at 22:18 | comment | added | Mohan | While your question has a negative answer in general, it is always true for power series. That is, if $f1,\ldots, f_n$ is a regular sequence in the maximal ideal of $R=k[[x_1,\ldots,x_n]]$, then $R$ is integral over $k[[f_1,\ldots,f_n]]$. | |
| May 30, 2011 at 13:17 | history | answered | Jacob Lurie | CC BY-SA 3.0 |