*-q-central idempotent and *-quasi-normal ring

In a *-ring, an idempotent e ? R is called *-quarter-central (or *-q-central for short) if e*R(1-e)Re* = 0. If all idempotents in a *-ring R are *-q-central, R is said to be a *-quasi-normal ring. In the paper, we prove that in a *-ring, each *-q-central idempotent must be q-central, and the converse of the conclusion is not true. Moreover, we give some equivalent conditions to claim when a q-central idempotent is *-q-central. From the viewpoint of currently prevailing generalizations of rings in the literature, *-q-central idempotents and *-quasi-normal rings are the generalizations of q-central idempotents and quasi-normal rings, respectively.