On Generalized Flatness and Generalized SF-Rings

Abdullah M. Abdul-Jabbar

Department of Mathematics, College of Science, Salahaddin University-Erbil, Kurdistan Region, Iraq,

The concept of generalized flatness and generalized SF-rings were first introduced by the
author in 2007. Now, in the present paper we continue to study generalized flatness,
generalized SF-rings and determine more properties of them. Moreover, several results
are proved. Finally, compare them with regular rings, left non-singular, strongly regular,
strongly π-regular, π-biregular and sπ-weakly regular rings under some conditions.

Key Words: SF-rings; generalized SF-rings; generalized flatness; regular rings 

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