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 Date: 2015-03-31 04:58:08Galois theory Algebraic number theory Group theory Field Normal extension Galois extension Separable extension Fundamental theorem of Galois theory Abstract algebra Algebra Field theory |
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The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 4 In the following, E, F, K are fields. 1. (a) Prove that K Emb (K/F ) = F ⇔ for all u ∈ K − F , M