Show that the three properties listed in Exercise 6 are valid for Zp, where p is prime.
REFERENCE:
Find an integer n that shows that the rings Zn need not have the following properties that the ring of integers has.
a. a 2 = a implies a = 0 or a = 1.
b. ab = 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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