Loc-hollow Fuzzy Modules with Related Modules

Main Article Content

Shaheed Jameel Kharbeet
Hatam Yahya Khalf

Abstract

     The concept of a small f- subm was presented in a previous study. This work introduced a concept of a hollow f- module, where a module is said to be hollow fuzzy when every subm of it is a small f- subm. Some new types of hollow modules are provided namely, Loc- hollow f- modules as a strength of the hollow module, where every Loc- hollow f- module is a hollow module, but the converse is not true. Many properties and characterizations of these concepts are proved, also the relationship between all these types is researched. Many important results that explain this relationship are demonstrated also several characterizations and properties related to these concepts are given.

Article Details

How to Cite
Kharbeet, S. J. ., & Khalf, H. Y. . (2022). Loc-hollow Fuzzy Modules with Related Modules. Ibn AL- Haitham Journal For Pure and Applied Sciences, 35(2), 84–96. https://doi.org/10.30526/35.2.2731
Section
mathematics

References

Zadehi,L.A .Fuzzy sets Information and control. 1965, 8, 333-353.

Zadehi ,M. M. On L- Fuzzy Residual Quotient Modules and P. Primary Submodules, Fuzzy

Sets and Systems. 1992,5, 331-344.

Zadehi, M.M. A characterization of L- Fuzzy ideals, F-sets and Systems. 1991, 44,147 -160.

Mashinchi, M. ;Zadehi, M. M. On L-Fuzzy primary Submodule , F- sets and System, 1995,49, 231-236

Martinez, L. Fuzzy module over Fuzzy rings in connection with Fuzzy ideals of Rings, Fuzzy- sets and system. 1996,4 ,843-857.

Rabi, H. J. Prime Fuzzy Submodules and Prime Fuzzy modules.2001, M.Sc. thesis,University of Baghdad.

Mayson, A.H ; Hatam, Y. Khalaf. Fuzzy regular F- modules. 2002. M.Sc Thesis of University Baghdad.

Buthyna, N.SH. ; Hatam,Y.KH. Fuzzy-Small submodules with study of Most Important Relevant Results. (2020),2nd Al- Noor International Conference for Science and Technology, August 28-29, Baku, Azerbaijan, 137-140.

Thear Z.KH ; Nada, K, A, Some Generalization of L –Hollow Modules. 2019. M.ScThesis University of Tikrit.

Hassan, K. Marhon ;Hatam ,Y. Khalaf, . Fuzzy closed Submodule and Fuzzy W-closed

Submodules with of their Generalization. 2020. Ph.D. Thesis of Baghdad

Yahya, T.A. Darzi, On fuzzy supplement submodules. February. Annals of uzzyMathematics and Informatics, 2015, 9, 2, 205-213.

Kumar, R, S. K. Bhambir, Kumar P. Fuzzy submodule of Some Analogous and Deviation,

F- Sets and system. 1995, 70, 125-130.

Inaam ,m. Hadi, myson, A, Hamill. Cancellation and Weakly Cancellation FuzzyModules. Basrah Research's (sciences) , 2011,37 ,4.D.

Hamel, M.A. and Khalaf, H.Y., Fuzzy Semimaximal Submodules. Ibn AL-Haitham Journal For Pure and Applied Sciences, 2020,33(4), 137-147.