Show that if M, N are non-zero commutative rings,
then M×N always has zero divisors, and is not an integral domain or a field.
How do I do this?!
2026-04-25 07:31:56.1777102316
Show that if M, N are non-zero commutative rings, then M×N always has zero divisors, and is not an integral domain or a field.
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Hint: what is the product of $(m,0)$ and $(0,n)$?