2022/01/23 by Chen, Huanyin, Kose, Handan, Kurtulmaz, Yosum
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2201.09276
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.