(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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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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