If F is algebraically closed and E an intermediate field such that tr.d.E/ K is finite, then

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If F is algebraically closed and E an intermediate field such that tr.d.E/ K is finite, then any K-monomorphism E → F extends to a K-automorphism of F.

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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 20, 2023 02:59 AM

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If F is algebraically closed and E an intermediate field such that tr.d.E/ K is finite, then

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Heres a proof of the statement Let E F be a Kmonomorphism We need to show that extends to a Kautomor...View the full answer

Algebra Graduate Texts In Mathematics 73

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