Let R be a commutative ring with unity. If I is a prime ideal of R prove that I[x] is a prime ideal of R[x]
Let R be a commutative ring with unity. If I is a prime ideal of R prove that I[x] is a prime ideal of R[x]
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. If I is a prime ideal of R prove that I[x] is a prime ideal of R[x]
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