Difference between revisions of "Zero divisor"
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Latest revision as of 16:25, 5 September 2008
In a ring 
, a nonzero element 
is said to be a zero divisor if there exists a nonzero 
such that 
.
For example, in the ring of integers taken modulo 6, 2 is a zero divisor because 
. However, 5 is not a zero divisor mod 6 because the only solution to the equation 
is 
.
1 is not a zero divisor in any ring.
A ring with no zero divisors is called an integral domain.
See also
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