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Journal of Neutrosophic and Fuzzy Systems

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Online: 2771-6449 Print: 2771-6430
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Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

Volume 9Issue 1PP: 32-35 • 2024

A Note on Some Generalized M-Flat Modules

Khaled Moaz 1*
1University of Mosul, department of computer science and mathematics, Mosul, Iraq
* Corresponding Author.
Received: December 25, 2023 Revised: March 24, 2024 Accepted: July 18, 2024

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

References

[1]      Brown, S. H. (1973), Rings over which every simple module is reationally complete, Canad. J. Math. 25, PP. 693 – 701.

[2]      Cohn, P. M. (1999), Reversible rings, Bull. London Math. Soc. Vol. 31, PP. 641 – 648.

[3]      Khalil, Sh. M. (2008), "On Generalized Pure Ideals", M. Sc. Thesis Mosul University.

[4]      McCoy, N. H. (1939), generalized regular rings, Bull. Amer. Math. Soc. Vol. 45, PP. 175 - 178.

[5]      Rege, M. B. (1986), On Von Neumann regular rings and SF-rings, Math. Japonica, 31(6), PP. 927 – 936.

[6]      Yue Chi Ming, R. (1985), On Von Neumann regular rings XII, Tamkang J. Math. 16 (4), PP. 67 – 75

[7]      Yu, H. P. (1995), on quasi - duo rings, Glasgow Math. J. 37, PP. 21 –31.

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Moaz, Khaled. "A Note on Some Generalized M-Flat Modules." Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, 2024, pp. 32-35. DOI: https://doi.org/10.54216/JNFS.090104
Moaz, K. (2024). A Note on Some Generalized M-Flat Modules. Journal of Neutrosophic and Fuzzy Systems, Volume 9(Issue 1), 32-35. DOI: https://doi.org/10.54216/JNFS.090104
Moaz, Khaled. "A Note on Some Generalized M-Flat Modules." Journal of Neutrosophic and Fuzzy Systems Volume 9, no. Issue 1 (2024): 32-35. DOI: https://doi.org/10.54216/JNFS.090104
Moaz, K. (2024) 'A Note on Some Generalized M-Flat Modules', Journal of Neutrosophic and Fuzzy Systems, Volume 9(Issue 1), pp. 32-35. DOI: https://doi.org/10.54216/JNFS.090104
Moaz K. A Note on Some Generalized M-Flat Modules. Journal of Neutrosophic and Fuzzy Systems. 2024;Volume 9(Issue 1):32-35. DOI: https://doi.org/10.54216/JNFS.090104
K. Moaz, "A Note on Some Generalized M-Flat Modules," Journal of Neutrosophic and Fuzzy Systems, vol. Volume 9, no. Issue 1, pp. 32-35, 2024. DOI: https://doi.org/10.54216/JNFS.090104
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