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or "non-zerodivisor" for clarity). A zero divisor that is nonzero is called a nonzero zero divisor or a nontrivial zero divisor. A non-zero ring with no nontrivial zero divisors is called a domain.

Examples

* In the ring $\backslash mathbb\{Z\}/4\backslash mathbb\{Z\}$, the residue class is a zero divisor since .
* The only zero divisor of the

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