A ring R is called left morphic if $$R/Ra{simeq_-}l(a)$$ for every $a{in}R$. Equivalently, for every $a{in}R$ there exists $b{in}R$ such that $Ra=l(b)$ and $l(a)=Rb$. A ring R is called left quasi-morphic if there exist $b$ and $c$ in R such that $Ra=l(b)$ and $l(a)=Rc$ for every $a{in}R$. A result of T.-K. Lee and Y. Zhou says that R is unit regular if and only if $$R[x]/(x^2){simeq_-}R{propto}R$$ is morphic. Motivated by this result, we investigate the morphic property of the ring $$S_n=^{def}R[x_1,x_2,{cdots},x_n]/({x_ix_j})$$, where $i,j{in}{1,2,{cdots},n}$. The morphic elements of $S_n$ are completely determined when R is strongly regular.