Extension of Krull's intersection theorem for fuzzy module
نویسندگان
چکیده مقاله:
In this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept $mu$-adic completion.
منابع مشابه
extension of krull's intersection theorem for fuzzy module
in this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules. it shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets. we investigate fuzzy topology on the $mu$-filtered fuzzy module and apply that to introduce fuzzy completion. finally we extend krull's intersection theorem of fuzzy ideals by using concept $mu$-adic...
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عنوان ژورنال
دوره 05 شماره 1
صفحات 9- 20
تاریخ انتشار 2017-01-01
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