Strongly Rad-clean Matrices over Commutative Local Rings
Abstract
An element a∈ R is provided that there exists an idempotent e∈ R such that a-e∈ U(R), ae=ea and eae∈ J(eRe). In this article, we investigate strongly rad-clean matrices over a commutative local ring. We completely determine when a 2× 2 matrix over a commutative local ring is strongly rad-clean.
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