Factorizations of Matrices over Projective-free Rings
World Scientific Publishing Co. Pte Ltd
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/26396
An 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.
- Research Paper