Commit 2024-01-10 19:15 f2e0c5ba
View on Github →feat (FieldTheory/Adjoin): generalize IntermediateField.exists_algHom_of_splits
(#9392)
- Extract from
Lifts.exists_lift_of_splits
a version that assumes integrality and splitting of minimal polynomial over an intermediate field (either actual IntermediateField or middle of IsScalarTower) rather than the base field - Generalize
exists_algHom_adjoin_of_splits
,exists_algHom_of_adjoin_splits
,exists_algHom_of_splits
to the same setting - Prove the extension lemma
surjective_comp_algebraMap_of_isAlgebraic/isSeparable
to be used in the proof that an epimorphism in the category of fields is a purely inseparable extension.