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## Quick Reference

If in a ring there are non-zero elements *a* and *b* such that *ab*=0, then *a* and *b* are divisors of zero. For example, in the ring of 2×2 real matrices,

and so each of the matrices on the left-hand side is a divisor of zero. In the ring **Z**_{6}, consisting of the set {0, 1, 2, 3, 4, 5} with addition and multiplication modulo 6, the element 4 is a divisor of zero since 4.3=0.

*Subjects:*
Mathematics.