In this paper, we investigate the concepts of strongly clean, strongly $\pi$-regular and strongly $J_n$-clean related to the ring $A=\begin{pmatrix}R&_RM_S\\0&S\end{pmatrix}$. Moreover, we give several equivalent conditions such that an element $\alpha\in End(A)$ is strongly clean.DOI : http://dx.doi.org/10.22342/jims.22.2.259.151-156
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