Proof that F is an algebraic closure of K if and only if F is algebraic over
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Proof that F is an algebraic closure of K if and only if F is algebraic over K and for every algebraic field extension E of another field K1 and isomorphism of fields σ : K1 → K, σ extends to a monomorphism E → F.
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ANSWER This statement is the definition of an algebrai...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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