Strong J-Cleanness of Formal Matrix Rings
Abstract
An element a of a ring R is called strongly J-clean provided that there exists an idempotent e∈ R such that a-e∈ J(R) and ae=ea. A ring R is strongly J-clean in case every element in R is strongly J-clean. In this paper, we investigate strong J-cleanness of M2(R;s) for a local ring R and s∈ R. We determine the conditions under which elements of M2(R;s) are strongly J-clean.
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