Saeid Safaeeyan

On rings whose atomic modules are injective

We introduce a new class of rings close to von Neumann regular rings and V-rings. We call a ring $R$, a right atomic V-ring (or right AV-ring) if every atomic (in the sense of Zhou and Duns) right $R$-module is injective. We observe that a right semi-Artinian ring is a right AV-r...