Fuzzy submodules of gamma modules
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Abstract (EN)
In this thesis, some theorems valid in fuzzy algebra are shown to be existing in fuzzy gamma modules. Initially, basic definitions and theorems related to classical algebra and fuzzy algebra are given. Afterwards, fuzzy submodule and gamma module definitions which will act as a source to our thesis are defined. In the final section, structures that belong to (normal) fuzzy submodule of gamma modules which contain our hypothesis are investigated. Moving from this point, the conditions when gamma modules belong to fuzzy submodules are studied, the image and inverse image of (normal) fuzzy submodules of gamma modules are also shown to be (normal) fuzzy submodules of gamma modules. After that, isomorphism theorems in classical algebra are pointed to be smilar in (normal) fuzzy submodules of gamma modules. Finally, the relation between fuzzy prime submodule and fuzzy prime submodules of gamma modules is analysed. Keywords: Fuzzy submodule, gamma module, (normal) fuzzy submodule of gamma module, fuzzy prime submodule, fuzzy prime submodule of gamma module
Author
Ferdi Çeliker
How to Cite
Ferdi Çeliker (Doctorate thesis). Fuzzy submodules of gamma modules, 2014, Yıldız Technical University.
Keywords
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