Department of Mathematics, Shahed University, Tehran, Iran


In this paper, we introduce the new notion of n-f-clean rings as a generalization of f-clean rings. Next, we investigate some properties of such rings. We prove that $M_n(R)$ is n-f-clean for any n-f-clean ring R. We also, get a condition under which the de nitions of n-cleanness and n-f-cleanness are equivalent.


Main Subjects

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