Timeline for Applications of Descent?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 10, 2012 at 16:54 | vote | accept | Grant Rotskoff | ||
| Apr 10, 2012 at 0:31 | history | edited | Joël | CC BY-SA 3.0 |
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| Apr 9, 2012 at 22:32 | history | edited | Joël | CC BY-SA 3.0 |
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| Apr 9, 2012 at 22:01 | comment | added | Joël | If $G$ is abelian, $k[G] \hookrightarrow L[G]=k[G] \otimes_k L$ is faithfully flat because $k \rightarrow L$ is and to be faithfully felt is preserved by arbitrary base change (see e.g. Matsumura, commutative algebra, page 27). To explain why the first example works, I need more space so I am going to put it in an edit of my answer. | |
| Apr 9, 2012 at 20:21 | comment | added | Martin Brandenburg | Sorry for this dumb question, but why does the first example work? We don't have commutative rings here, and even if $G$ is abelian I don't know why $k[G] \hookrightarrow L[G]$ is faithfully flat. | |
| Apr 9, 2012 at 14:56 | history | answered | Joël | CC BY-SA 3.0 |