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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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 16, 2023 03:50 AM

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Show that F is an algebraic extension of K if and only if for every intermediate field

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We will prove the statement in two parts Part 1 If F is an algebraic extension of K then for every i...View the full answer

Algebra Graduate Texts In Mathematics 73

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