ASPG Menu
search

American Scientific Publishing Group

verified Journal

Galoitica: Journal of Mathematical Structures and Applications

ISSN
Online: 2834-5568
Frequency

Continuous publication

Publication Model

Open access journal. All articles are freely available online with no APC.

Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 5Issue 1PP: 45-48 • 2023

On The Fuzzy Semi Sub-Modules of Fuzzy Modules

Rama Asad Nadweh 1*
1Online Islamic University, Department Of Science and Information Technology, Doha, Qatar
* Corresponding Author.
verified

Open Access & Copyright

© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: January 03, 2023 Accepted: April 02, 2023

Abstract

In this paper, we introduce the concept of fuzzy semi-essential (large) submodule, and we study a necessary and sufficient condition for a fuzzy submodule of a fuzzy module to be a fuzzy semi-essential (large) submodule, also fuzzy images and fuzzy inverse-images of generalized fuzzy semi-essential (large) submodule are studied.

Index Terms

Keywords

Fuzzy set Fuzzy module Fuzzy semi submodule.

References

[1] Zahedi M. M.., “Some Results on L- Fuzzy Modules ”, Fuzzy Sets and Systems, Vol. 55, PP. 355-363, (1993).

 [2] Kumar R., “Fuzzy Semiprimary Ideals of Rings”, Fuzzy Sets and Systems, Vol. 42, PP. 263-272, (1991).

[3] Majumdar S., “Theory of Fuzzy Modules, Eull Col. Math. Sce., Vol. 82, PP. 395-399, (1990).

[4] Martinez L., “Fuzzy Modules Over Fuzzy Rings in Connection with Fuzzy Ideal of Ring”, J. Fuzzy Math. Vol. 4, PP. 843-857, (1996).

[5] Mashinchi M. and Zahedi M. M., “On L-Fuzzy Primary Submodules”, Fuzzy Sets and Systems, Vol. 49, PP. 231-236, (1992).

[6] Mukhejee T.K., Sen M. K. and Roy D., “On Submodules and their Radicals, J. Fuzzy Math. Vol. 4, PP. 549-558, (1996).

[7] Rosenfeld .A., “Fuzzy groups,” J. Math. Anal. Appl., vol. 35, pp. 512 517, 1971

[8] Zadeh L. A., “Fuzzy Sets, Information and control” , Vol. 8, PP. 338 353, 1965.

[9] Zahedi M. M., “On L-Fuzzy Residual Quotient Modules and P. Primary Submodules”, Fuzzy Sets and Systems, Vol. 51, PP. 33-344, (1992).

[10] Zahedi M. M., “ A characterization of L-Fuzzy Prime Ideals”, Fuzzy Sets and Systems, Vol. 44, 147-160, (1991).

[11] Zhao Jiandi, Shi K. Yue M., “Fuzzy Modules over Fuzzy Rings”, The J. of Fuzzy Math. Vol. 3, PP. 531- 540, (1993).

Cite This Article

Choose your preferred format

format_quote
Nadweh, Rama Asad. "On The Fuzzy Semi Sub-Modules of Fuzzy Modules." Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 5, no. Issue 1, 2023, pp. 45-48. DOI: https://doi.org/10.54216/GJMSA.050104
Nadweh, R. (2023). On The Fuzzy Semi Sub-Modules of Fuzzy Modules. Galoitica: Journal of Mathematical Structures and Applications, Volume 5(Issue 1), 45-48. DOI: https://doi.org/10.54216/GJMSA.050104
Nadweh, Rama Asad. "On The Fuzzy Semi Sub-Modules of Fuzzy Modules." Galoitica: Journal of Mathematical Structures and Applications Volume 5, no. Issue 1 (2023): 45-48. DOI: https://doi.org/10.54216/GJMSA.050104
Nadweh, R. (2023) 'On The Fuzzy Semi Sub-Modules of Fuzzy Modules', Galoitica: Journal of Mathematical Structures and Applications, Volume 5(Issue 1), pp. 45-48. DOI: https://doi.org/10.54216/GJMSA.050104
Nadweh R. On The Fuzzy Semi Sub-Modules of Fuzzy Modules. Galoitica: Journal of Mathematical Structures and Applications. 2023;Volume 5(Issue 1):45-48. DOI: https://doi.org/10.54216/GJMSA.050104
R. Nadweh, "On The Fuzzy Semi Sub-Modules of Fuzzy Modules," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 5, no. Issue 1, pp. 45-48, 2023. DOI: https://doi.org/10.54216/GJMSA.050104
policy

Publisher's Note

The statements, opinions, and data presented in this article are solely those of the author(s) and do not necessarily represent those of ASPG, the journal, or its editors. ASPG and the editors disclaim responsibility for any harm arising from the use of any ideas, methods, instructions, or products described in this article, to the fullest extent permitted by applicable law.

Digital Archive Ready