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Factorizations of Matrices over Projective-free Rings

   Chen, Huanyin; Kose, H.; Kurtulmaz, Y.

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.

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