Chen, H.Kose, H.Kurtulmaz, Y.2018-04-122018-04-1220161225-6951http://hdl.handle.net/11693/36697An n × n matrix A over a commutative ring is strongly clean provided that it can be written as the sum of an idempotent matrix and an invertible matrix that commute. Let R be an arbitrary commutative ring, and let A(x) ∈ Mn ( R[[x]]) . We prove, in this note, that A(x) ∈ Mn ( R[[x]]) is strongly clean if and only if A(0) ∈ Mn(R) is strongly clean. Strongly clean matrices over quotient rings of power series are also determined.EnglishCharacteristic polynomialPower seriesStrongly clean matrixArticle10.5666/KMJ.2016.56.2.3870454-8124