16.2.12. Let I be an ideal in a commutative ring R. Prove that I[x] is an ideal in R[x]. Prove that R[x]/I[x] = (R/I)[x].
16.2.12. Let I be an ideal in a commutative ring R. Prove that I[x] is an ideal in R[x]. Prove that R[x]/I[x] = (R/I)[x].
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.1: Polynomials Over A Ring
Problem 15E: 15. Prove that if is an ideal in a commutative ring with unity, then is an ideal in .
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