Rings in which one-sided strongly $\ddot{I}€$-regular elements are strongly $\ddot{I}€$-regular

Dimple Rani Goyal, Dinesh Khurana

In 1977, Hartwig and Luh asked if $a$ is an element of a Dedekind-finite ring $S$, then does $aS=a^{2}S$ imply $Sa=S{a}^2$. This question was answered negatively by Dittmer, Khuran…