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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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