Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/3203 2021 2021 University of Mosul, department of computer science and mathematics, Mosul, Iraq Khaled Khaled Let I be a right (left) ideal of a ring R, then RI 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. 2024 2024 32 35 10.54216/JNFS.090104 https://www.americaspg.com/articleinfo/24/show/3203