a Let S= { 9- a,b e R }. Show that Ø: C→ S defined by 1. a a P(a + bi) =| - b is a ring homomorphism. a
a Let S= { 9- a,b e R }. Show that Ø: C→ S defined by 1. a a P(a + bi) =| - b is a ring homomorphism. a
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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![a
Let S= {
- b
: a,b e R}. Show that : C→ S defined by
1.
a
b
is a ring homomorphism.
a
$(a + bi)
-b a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9774f45-b264-467e-8b06-716b402d428d%2F6fd4e8c5-f0c2-4834-95d7-e1e6888c0d25%2Fzl46596_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a
Let S= {
- b
: a,b e R}. Show that : C→ S defined by
1.
a
b
is a ring homomorphism.
a
$(a + bi)
-b a
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