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Nilpotent As Algebraic Structure Dominant In Ring But Not In Integral Domain
It has been shown that in any nonzero commulative ring R,x ? R is nilpotent if x n = 0 for some n > 0 and all nilpotent elements in a nonzero ring are zero divisors but the converse is not necessarily true.In this paper we establish that in a nonzero ring R which 0 is the only zero divisor has no nonzero nilpotent elements.
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