Let char K = p 0. Then an algebraic element u F is separable over
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Let char K = p ≠ 0. Then an algebraic element u ϵ F is separable over K if and only if K(u) = K(uPn) for all n ≥ 1.
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Let us first define the terms in the statement F is a field containing K u is an algebraic element of F over K which means that u is the root of some ...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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