(New page: Chapter 13, Problem 6. Find a nonzero element in a ring that is neither a zero-divisor nor a unit. Answer: In the ring Z, 2 is neither a zero-divisor (because Z is an integral domain, and...) |
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Revision as of 05:48, 22 October 2008
Chapter 13, Problem 6. Find a nonzero element in a ring that is neither a zero-divisor nor a unit.
Answer: 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