A Note on Some Generalized M-Flat Modules

Khaled Moaz

University of Mosul, department of computer science and mathematics, Mosul, Iraq Khaledmoaz_m13@gmail.com

Abstract

Let I be a right (left) ideal of a ring R, then R/I is a right (left) generalized m – flat module (GmF – module) if and only if for each a Î I , there exists b Î I and a fixed positive integer m such that . In this paper, we study the characterization and properties this class of flat modules, and we give the relation between this class and generalized m- flat modules and m– regular rings, reduced rings, reversible rings and uniform rings.

Keywords: Algebraic module; M-module; Flat module; Algebraic ring