separably algebraically closed field
A field is called separably algebraically closed if every separable element of the algebraic closure of belongs to .
In the case when has characteristic 0, it is separably algebraically closed if and only if it is algebraically closed.
If has positive characteristic , is separably algebraically closed if and only if its algebraic closure is a purely inseparable extension of .
|Title||separably algebraically closed field|
|Date of creation||2013-03-22 15:58:30|
|Last modified on||2013-03-22 15:58:30|
|Last modified by||polarbear (3475)|
|Defines||separably algebraically closed|