(a) K is a perfect field if and only if every field extension of K is separable....

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(a) K is a perfect field if and only if every field extension of K is separable.

(b) (Mac Lane) Assume K is a perfect field, F is not perfect and tr.d.F/ K = 1. Then F is separably generated over K.

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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 03:00 AM

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(a) K is a perfect field if and only if every field extension of K is separable....

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a To prove that K is a perfect field if and only if every field extension of K is separable we need ...View the full answer

Algebra Graduate Texts In Mathematics 73

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