Timeline for Algebraic maximal extension and algebraic closure
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Dec 4, 2012 at 15:49 | comment | added | Laurent Berger | $\mathbf{C}_p$ has plenty of immediate extensions, that is extensions that have the same value group and the same residue field. The compositum of all these is its spherical completion. Now lots of intermediate fields between $\mathbf{C}_p$ and its spherical completion would not be algebraic maximal. | |
| Dec 4, 2012 at 12:14 | comment | added | Richard | Thank you! And if you consider fields whose residue fiels is algebraically closed and whose value group is divisible, when are such fields algebraically closed ? | |
| Dec 4, 2012 at 10:32 | history | answered | David Loeffler | CC BY-SA 3.0 |