An element $a$ in a ring $R$ is a **zero divisor** if $a\neq 0_R$ and there exists an element $b\in R-\{0_R\}$ such that
$$ a\cdot b = 0_R \qquad \text{or}\qquad b\cdot a = 0_R.$$

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- Review status: reviewed
- Last edited by John Jones on 2018-08-06 02:34:07

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- 2018-08-06 02:34:07 by John Jones (Reviewed)