Fully Fuzzy Visible Modules With Other Related Concepts

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Published: Jul 20, 2023
DOI: https://doi.org/10.30526/36.3.3092
Keywords:
fully fuzzy visible modules , fully fuzzy stable modules, fuzzy Artiain modules, fuzzy regular rings, fuzzy quasi injective modules

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Sajda Kadhum Mohammed
Department of Mathematics, Faculty of Education for Girls, University of Kufa, Iraq
Buthyna Najad Shihab
Department of Mathematics, College of Education for Pure science (Ibn-Al-Haitham) ,University of Baghdad , Iraq

Abstract

In previous our research, the concepts of visible submodules and fully visible modules were introduced, and then these two concepts were fuzzified to fuzzy visible submodules and fully fuzzy. The main goal of this paper is to study the relationships between fully fuzzy visible modules and some types of fuzzy modules such as semiprime, prime, quasi, divisible, F-regular, quasi injective, and duo fuzzy modules, where under certain conditions it has been proven that each fully fuzzy visible module is fuzzy duo. In addition, there are many various properties and important results obtained through this research, which have been illustrated. Also, fuzzy Artinian modules and fuzzy fully stable modules have been introduced, and we study the relationships between these kinds of modules and fully fuzzy visible modules. Many other intersecting results we found.

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Fully Fuzzy Visible Modules With Other Related Concepts. (2023). Ibn AL-Haitham Journal For Pure and Applied Sciences, 36(3), 372-381. https://doi.org/10.30526/36.3.3092
Issue
Vol. 36 No. 3 (2023)
Section
Mathematics
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Fully Fuzzy Visible Modules With Other Related Concepts. (2023). Ibn AL-Haitham Journal For Pure and Applied Sciences, 36(3), 372-381. https://doi.org/10.30526/36.3.3092
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