STRONGLY CLEAN ELEMENTS IN A CERTAIN BLOCK MATRIX RING

Abstract

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