Commit 2024-01-08 14:36 417f344b
View on Github →feat(FieldTheory/IsSepClosed): add some results on separable closure and perfect field (#9522)
IsSepClosure.isAlgClosure_of_perfectField
,IsSepClosure.of_isAlgClosure_of_perfectField
: ifk
is a perfect field, then its separable closure coincides with its algebraic closure.IsSepClosed.isAlgClosed_of_perfectField
: a separably closed perfect field is also algebraically closed.Algebra.IsAlgebraic.[isSeparable_of_]perfectField
: ifL / K
is an algebraic extension,K
is a perfect field, thenL / K
is separable andL
is perfect.