Article : Rings In Which Each Component Is A Absent Nought-Divisor


Rings In Which Each Component Is A Absent Nought-Divisor


Dr. D. V. Ramalinga Reddy

We introduce the concepts of left (right) nought-divisor rings, a class of rings with-out identity. We call a ring left (right) nought-divisor if for every , and call strong left (right) nought-divisor if . Camillo and Nielson called a ring right finite annihilated ) if every finite subset has non-zero right annihilator. We present in this paper some basic examples of left zero-divisor rings, and in-
vestigate the extensions of strong left zero-divisor rings and rings, giving their corresponding characterization

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