Characteristic of a finite ring having no divisor of zero is a prime number
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The ring of integers modulo a prime number has no zero divisors other than 0. Since every nonzero element is a unit, this ring is a finite field. More generally, a division ring has no zero divisors except 0. A nonzero commutative ring whose only zero divisor is 0 is called an integral domain.
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0 is the answer...............
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