Timeline for Separable and algebraic closures?
Current License: CC BY-SA 2.5
6 events
when toggle format | what | by | license | comment | |
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Jun 9, 2010 at 2:12 | vote | accept | David Roberts♦ | ||
Jun 7, 2010 at 16:14 | comment | added | Ryan Reich | May I ask why the above comment was not posted as an answer instead? It is manifestly an answer. | |
Jun 7, 2010 at 8:47 | answer | added | Torsten Ekedahl | timeline score: 51 | |
Jun 7, 2010 at 6:34 | comment | added | Robin Chapman | Perfect fields are fields all of whose algebraic extensions are separable, so their algebraic and separable closure coincide. Finite fields are perfect; also fields of characteristic zero (including number fields) are perfect. The simplest example of a non-perfect field is $\mathbb{F}_p(X)$, the field of rational functions in one variable over the field of $p$ elements. | |
Jun 7, 2010 at 6:34 | answer | added | Martin Brandenburg | timeline score: 25 | |
Jun 7, 2010 at 6:12 | history | asked | David Roberts♦ | CC BY-SA 2.5 |