EBK ELEMENTS OF MODERN ALGEBRA
EBK ELEMENTS OF MODERN ALGEBRA
8th Edition
ISBN: 9780100475755
Author: Gilbert
Publisher: YUZU
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Chapter 6.1, Problem 32E

a. Let I be an ideal of the commutative ring R and a R . Prove that the set S = { a r + s | r R , s I } is an ideal of R containing I .

b. If e R and a I , show that I S .

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