1Department of Mathematics, Al-Falah University, Faridabad, Haryana-121004, India, E-mail: garimasharma.btc@gmail.com
2Department of Computer Science & Engineering, Jamia Hamdard, New Delhi-110062, India
Online published on 11 July, 2018.
In this article we introduce the concept of n-f-semiclean rings. The ring R is said to be n-f-semiclean ring if every element of R is sum of a periodic element and n full elements of R. In this paper we investigate some properties of the n-f-semiclean rings. We prove that let C = (A V W B) be the Morita context with φ, φ = 0 then C is n-f-semiclean if and only if A and B are n-f-semiclean. Furthermore, we prove more results for n-f-semiclean rings. We also introduce Strongly f-Semiclean rings and discuss its basic properties.
Semiclean ring, strongly semiclean, clean ring, f-clean ring, n-f-clean ring, strongly f-semiclean, strongly f-clean, n-f-semiclean
