PDF-2thecommonintermediate eldKt=Kt0contains(t t0)baswellas1=(t t0)2k,soi
kandweletksdenotetheseparableclosureofkinsideof
kThatisksisthesetofx2
kwhichareseparableoverkInparticularksisseparablyclosedieithasnonontrivialseparableextensionsorequivalentlyitsalgebraicext
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