What are the minimal (one-sided) ideals of a corner ring $eRe$, where $R$ is a unital ring, and $e=e^2\in R$?
If $S$ is a, say, right ideal of $R$, then clearly $eSe$ is a right ideal of $eRe$, but, I don't know whether all right ideals of $eRe$ are of this type.
Thanks in advance, for any cooperation and suggestion!