# Math Help - Rings and zero-divisors problem

1. ## Rings and zero-divisors problem

Prove or give a counterexample: for any two rings R and S, neither equal to {0},
the direct product RxS contains 0-divisors.

I have no idea where to start.

2. ## Re: Rings and zero-divisors problem

Hint (in fact this is practically a solution): $(1,0)\cdot (0,1) = (0,0)$

Thank you!