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, ...

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta )$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized ...