Let R be a commutative ring with unity and c E R. The map R[X] → R[X] f(X) → R= f(X + c) is an isomorphism of rings.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter6: More On Rings
Section6.1: Ideals And Quotient Rings
Problem 35E: Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a...
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Let R be a
commutative ring with unity and c E R. The map
R[X] →
R[X]
f(X) → R= f(X + c)
is an isomorphism of rings.
Transcribed Image Text:Let R be a commutative ring with unity and c E R. The map R[X] → R[X] f(X) → R= f(X + c) is an isomorphism of rings.
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