Acta Mathematica Vietnamica

In this paper, we give some properties of weakly reversible rings, such as weakly reversible rings are left min-abel and directly finite. Next, we show that $R$ is a strongly regular ring if and only if $R$ is a weakly reversible regular ring. Finally, we give some applications: Let $R$ be a weakly reversible ring. Then (1) $R$ is clean if and only if $R$ is exchange; (2) If $R$ is exchange, then $R$ has stable range one; (3) If $R$ is a clean ring, then $R$ is a tb-ring.

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