17. If E is an extension of F and f (x) e F[x] and if is an automorphism of E leaving every element of F fixed, prove that o must take a root of f (x) in E into a root of f (x) in E.
17. If E is an extension of F and f (x) e F[x] and if is an automorphism of E leaving every element of F fixed, prove that o must take a root of f (x) in E into a root of f (x) in E.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 23E: [Type here]
23. Let be a Boolean ring with unity. Prove that every element ofexceptandis a zero...
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