Let R be a commutative ring with identity. Is it possible for R[x] to be a PID without being a Euclidean domain?

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 12E: 12. Let be a commutative ring with unity. If prove that is an ideal of.
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Let R be a commutative ring with identity. Is it possible for R[x] to be a
PID without being a Euclidean domain?
Transcribed Image Text:Let R be a commutative ring with identity. Is it possible for R[x] to be a PID without being a Euclidean domain?
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