Exercise 14.1. Let : C→ C be a ring homorphism satisfying thatShow that is either the identity map or the complex conjugation (i.e.(r)= r for every rЄ R.(a + bi) = a − bi).

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Answered: Exercise 14.1. Let : C→ C be a ring…

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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Exercise 14.1. Let : C→ C be a ring homorphism satisfying that Show that is either the identity map or the complex conjugation (i.e. (r) = r for every rЄ R. (a + bi) = a − bi).