Proof that (a) [F : K] = 1 if and only if F = K. (b) If
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Proof that
(a) [F : K] = 1 if and only if F = K.
(b) If [F: K] is prime, then there are no intermediate fields between F and K.
(c) If u ϵ F has degree n over K, then n divides [F: K].
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a Let F K 1 Then there exists only one Klinear transformation from F to K namely the identity transf...View the full answer
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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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