Exercise 4.1.4. Fix a € Z. Show Pa : Z → Z defined by qa(n) ==an is a homomorphism.

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Answered: Fix a E Z. Show 9a : Z → Z defined by…

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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Fix a E Z. Show 9a : Z → Z defined by Qa(n) = an is a homomorphism.