find all the divisors of 0 in the ring Z_{6}of integers of modulo 6.

in this system 2x3=0. so divisors of zero are 2 and 3. Again 4x3=0. So 4 is also a divisor of 0. ......

Is my approach right?

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- Jan 18th 2014, 11:54 PMSuvadipdivisor of 0
find all the divisors of 0 in the ring Z

_{6}of integers of modulo 6.

in this system 2x3=0. so divisors of zero are 2 and 3. Again 4x3=0. So 4 is also a divisor of 0. ......

Is my approach right? - Jan 21st 2014, 05:25 AMHallsofIvyRe: divisor of 0
Yes, the "zero divisors" in $\displaystyle Z_6$ are 2, 3, and 4. More generally, the zero divisors of $\displaystyle Z_n$ are the prime divisors of n and their multiples.