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True or False? Prove if true or give a counter example if false. If a, b, c are elements of the ring R=Z/mZ, such that a b = a-c and a + [0], then b = c.

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 6TFE: True or False Label each of the following statements as either true or false. Let x and y be...

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True or False? Prove if true or give a counter example if false.
If a, b, c are elements of the ring R=Z/mZ, such that a-b = a-c and a + [0], then b = c.

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