Title of article :
Generalized f-clean rings
Author/Authors :
Jamshidvand, S. Department of Mathematics - Shahed University, Tehran , Haj Seyyed Javadi, H. Department of Mathematics - Shahed University, Tehran , Vahedian Javaheri, N. Department of Mathematics - Shahed University, Tehran
Abstract :
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 Mn(R) is
n-f-clean for any n-f-clean ring R. We also, get a condition under which the denitions of
n-cleanness and n-f-cleanness are equivalent.
Keywords :
Full element , clean ring , n-clean ring , n-f-clean ring
Journal title :
Astroparticle Physics
