Show that F is an algebraic extension of K if and only if for every intermediate field
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Show that F is an algebraic extension of K if and only if for every intermediate field E every monomorphism u : E → E which is the identity on K is in fact an automorphism of E.
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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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