Timeline for question about tensor of two fields
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30, 2010 at 13:10 | vote | accept | TOM | ||
| Jun 30, 2010 at 8:00 | comment | added | TOM | Thank you !And what about the prime ideal in the case L/k inifinite | |
| Jun 29, 2010 at 20:47 | answer | added | Georges Elencwajg | timeline score: 6 | |
| Jun 29, 2010 at 18:56 | comment | added | Keenan Kidwell | When $L$ is of finite degree, (a) is a straightforward exercise using the primitive element theorem, the CRT, and some basic facts about tensor products. As such, I don't think it's appropriate for the site. For arbitrary algebraic $L$, the same result follows because $L\otimes_kH$ is the union of the reduced rings $F\otimes_kH$ with $F$ a finite subextension of $L/k$ (this follows from flatness and what it means to be algebraic). The statement about prime ideals, at least in the case $L/k$ finite, is a fact about artinian rings. | |
| Jun 29, 2010 at 16:33 | history | edited | Mariano Suárez-Álvarez | CC BY-SA 2.5 |
Texify and fix punctuation.
|
| Jun 29, 2010 at 16:28 | answer | added | Robin Chapman | timeline score: 4 | |
| Jun 29, 2010 at 16:06 | answer | added | Mariano Suárez-Álvarez | timeline score: 6 | |
| Jun 29, 2010 at 16:02 | history | asked | TOM | CC BY-SA 2.5 |