extension of krull's intersection theorem for fuzzy module
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abstract
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.
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Journal title:
sahand communications in mathematical analysisجلد ۵، شماره ۱، صفحات ۹-۲۰
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