Answered: Let phi / Q * (sqrt(2)) -> phi(sqrt(2))…

Let phi / Q * (sqrt(2)) -> phi(sqrt(2)) be the map given t phi(a+b sqrt 2 )=a-b sqrt 2 . Show that is a Q-linear field automorphism

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter6: More On Rings

Section6.2: Ring Homomorphisms

Problem 11E: 11. Show that defined by is not a homomorphism.

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Question

Let phi / Q * (sqrt(2)) -> phi(sqrt(2)) be the map given t phi(a+b sqrt 2 )=a-b sqrt 2 .

Show that is a Q-linear field automorphism

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