Show that if E is an algebraic extension of a field F, then the union of F
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Show that if E is an algebraic extension of a field F, then the union of F with the set of all elements of E totally inseparable over F forms a subfield of E, the totally inseparable closure of F in E.
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If E is a separable extension of F then there are no elements of E totally inseparable over F so the ...View the full answer
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