Generalized f-clean rings

Journal of Linear and Topological Algebra

مقاله 7، دوره 03، شماره 01، خرداد 2014، صفحه 55-60   

نویسندگان

S. Jamshidvand؛ H. Haj Seyyed Javadi؛ N. Vahedian Javaheri

Department of Mathematics, Shahed University, Tehran, Iran

چکیده

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 definitions of n-cleanness and n-f-cleanness are equivalent.

کلیدواژه‌ها

Full element؛ clean ring؛ n-clean ring؛ n-f-clean ring

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