Structure of rings with certain conditions on zero divisors

Hazar Abu-Khuzam and Adil Yaqub

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-6

Abstract:

Let R be a ring such that every zero divisor x is expressible as a sum of a nilpotent element and a potent element of R : x = a + b , where a is nilpotent, b is potent, and a b = b a . We call such a ring a D * -ring. We give the structure of periodic D * -ring, weakly periodic D * -ring, Artinian D * -ring, semiperfect D * -ring, and other classes of D * -ring.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:067692

DOI: 10.1155/IJMMS/2006/67692

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