Meaning of zero-divisor

ze•ro-di•vi•sor

Pronunciation: (zēr'ō-di-vī'zur), [key]
— n. Math.
  1. a nonzero element of a ring such that its product with some other nonzero element of the ring equals zero.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.