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HW7 (Chapter 13, Problem 6, MA453, Fall 2008, Prof. Walther

Question

Find a nonzero element in a ring that is neither a zero-divisor nor a unit.

Answer 1

In the ring Z, 2 is neither a zero-divisor (because Z is an integral domain, and hence has no zero-divisors) nor a unit.

--Neely Misner

Answer 2

Write it here.

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