Strong J-cleanness of formal matrix rings
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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 the 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.
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 the 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.
참고문헌 (11)
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