Problem on Integral Domain

Question

Why $n\mathbb{Z} \times n\mathbb{Z}$ is not an integral domain?

FFR http://math.stackexchange.com/q/844337/29335 is probably the most linked duplicate to use. — rschwieb, Jan 06 '15 at 21:56

score 0 · Accepted Answer · answered Jan 06 '15 at 15:12

0

Consider $2\mathbb{Z}\times 2\mathbb{Z}$. Then $(-2,0)\times (0,-2)=(0,0)$.

answered Jan 06 '15 at 15:12

Fundamentalistic

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