1
Online Islamic University, Department Of Science and Information Technology, Doha, Qatar
(ramaanadwehh@gmail.com)
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).
| Style | # |
|---|---|
| MLA | Rama Asad Nadweh. "On The Fuzzy Semi Sub-Modules of Fuzzy Modules." Galoitica: Journal of Mathematical Structures and Applications, Vol. 5, No. 1, 2023 ,PP. 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |
| APA | Rama Asad Nadweh. (2023). On The Fuzzy Semi Sub-Modules of Fuzzy Modules. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 1 ), 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |
| Chicago | Rama Asad Nadweh. "On The Fuzzy Semi Sub-Modules of Fuzzy Modules." Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 no. 1 (2023): 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |
| Harvard | Rama Asad Nadweh. (2023). On The Fuzzy Semi Sub-Modules of Fuzzy Modules. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 1 ), 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |
| Vancouver | Rama Asad Nadweh. On The Fuzzy Semi Sub-Modules of Fuzzy Modules. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 5 ( 1 ): 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |
| IEEE | Rama Asad Nadweh, On The Fuzzy Semi Sub-Modules of Fuzzy Modules, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 5 , No. 1 , (2023) : 45-48 (Doi : https://doi.org/10.54216/GJMSA.050104) |