Show that for any integer n > 1, the ring Z/(n) has no non-zero nilpotent element

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Show that for any integer n > 1, the ring Z/(n) has no non-zero nilpotent element




Show that for any integer n > 1, the ring Z/(n) has no non-zero nilpotent element if and only if n is not divisible by square of any integer greater than one.



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