HW7 (Chapter 13, Problem 5, MA453, Fall 2008, Prof. Walther


Show that every nonzero element of Zn is a unit or a zero-divisor.

Answer 1

Suppose that a is in Zn. If gcd(a, n) = 1, then we know that a is a unit. Suppose that gcd(a, n) = d > 1. Then a(n/d)= (a/d)n = 0, so a is a zero-divisor.

-Neely Misner

Answer 2

Write it here.

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