Abstract

A ring R is called right distributive if its lattice of right ideals is distributive. In this paper, we investigate distributive rings. We prove that if a ring R is right hereditary, then R is right distributive if and only if R is weakly right duo. We also prove that right semiperfect right distributive rings are right quasi-continuous. Finally, it is proved that right perfect distributive rings are quasi-Frobenius. In addition, we add examples to the situations that occur naturally in the process of this paper.

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