1. let S: :1 xg*Z a) Show that is a ning. ning. b) Show that ¢: S Z olefined by $ ( [Š 87)-* is a ring homomorphism c) Describe ker 4.
1. let S: :1 xg*Z a) Show that is a ning. ning. b) Show that ¢: S Z olefined by $ ( [Š 87)-* is a ring homomorphism c) Describe ker 4.
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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![.1. Let S:
a) Show that <S, +,·>is
b) Show that ¢: S» Z defined by
a ving.
$ ( [Š g7)=* is a
ring homomorphism
c) Describe ker4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdee971d8-a964-4acf-a9e9-f1e5180c4b02%2Faf6b581d-a4bc-4a3b-b0f3-ae2c5178eb58%2Fmvbrvd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:.1. Let S:
a) Show that <S, +,·>is
b) Show that ¢: S» Z defined by
a ving.
$ ( [Š g7)=* is a
ring homomorphism
c) Describe ker4.
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