Contemporary Abstract Algebra
Contemporary Abstract Algebra
9th Edition
ISBN: 9781305657960
Author: Joseph Gallian
Publisher: Cengage Learning
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Chapter 12, Problem 6E

Find an integer n that shows that the rings Z n need not have the followingproperties that the ring of integers has.
a. a 2 = a implies a = 0  or a = 1 .
b. a b = 0 implies a = 0  or b = 0 .
c.ab=ac and a =0 imply b =c.
Is the n you found prime?

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