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Graduate Algebra Study Notes II-(14)

Key Words: Fields, Galois Theory, Spitting Fields, Algebraic Closure, Normality

Problem: Let F:K be an algebraic extension, and suppose K' is some field isomorphic to K by :by delta. F is an algebraic closure of K <==> F is algebraic over K and for every algebraic extension E of K', delta extends to a monomorphism E-->F.
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