Volume 9 • Issue 1 • PP: 32-35 • 2024
A Note on Some Generalized M-Flat Modules
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© 2024 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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.
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References
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