Chen, H.Kose, H.Kurtulmaz, Y.2018-04-122018-04-1220161005-3867http://hdl.handle.net/11693/37208An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#(R) that commute. In this paper, we characterize the strong J#-cleanness of matrices over projective-free rings. This extends many known results on strongly clean matrices over commutative local rings. © 2016 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.EnglishCharacteristic polynomialProjective-free ringStrongly J#-matrix15A2315B9916L99Article10.1142/S10053867160000430219-1733