Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Volume 9 , Issue 1 , PP: 32-35, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

A Note on Some Generalized M-Flat Modules

Khaled Moaz 1 *

  • 1 University of Mosul, department of computer science and mathematics, Mosul, Iraq - (Khaledmoaz_m13@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.090104

    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.

    Cite This Article As :
    Moaz, Khaled. A Note on Some Generalized M-Flat Modules. Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 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, (), 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 , no. (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 , () , 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. (): 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, vol. , no. , pp. 32-35, 2024. DOI: https://doi.org/10.54216/JNFS.090104