Some examples concerning left morphic elements in corner rings

An element a of a ring R is left morphic if R/Ra≅annl(a). If every element of a ring R is left morphic, we call R a left morphic ring. Nicholson and Sánchez Campos prove that, for any left morphic ring R and any idempotent e∈R, the corner ring eRe is left morphic. In this note, we correct Nicholson and Sánchez Campos' elementwise version of this statement, giving examples to illustrate the novel behaviors that arise.