%0 Journal Article %T Extension of Krull's intersection theorem for fuzzy module %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Sedighi, Ali Reza %A Hosseini, Mohammad Hossein %D 2017 %\ 01/01/2017 %V 05 %N 1 %P 9-20 %! Extension of Krull's intersection theorem for fuzzy module %K $mu$-Fuzzy filtered module %K Fuzzy inverse system %K Fuzzy topological group %K Krull's intersection theorem %R 10.22130/scma.2017.21429 %X ‎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. %U https://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf