Proof that Let K be a field such that for every extension field F the maximal algebraic

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Proof that Let K be a field such that for every extension field F the maximal algebraic extension of K contained in F is K itself. Then K is algebraically closed.

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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 03:56 AM

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Proof that Let K be a field such that for every extension field F the maximal algebraic

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We will prove this statement by contradiction Assume that K is not algebraically closed Then there e...View the full answer

Algebra Graduate Texts In Mathematics 73

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