5. Give an example where a and b are not zero divisors in a ring R, but the sum a +b is a zero divisor.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.1: Definition Of A Ring
Problem 36E
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Give an example where a and b are not zero divisors in a ring R, but the sum a + b is a zero divisor.

5. Give an example where a and b are not zero divisors in a ring R, but the sum a + b is a zero divisor.
Transcribed Image Text:5. Give an example where a and b are not zero divisors in a ring R, but the sum a + b is a zero divisor.
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