@article { author = {Sedighi, Ali Reza and Hosseini, Mohammad Hossein}, title = {Extension of Krull's intersection theorem for fuzzy module}, journal = {Sahand Communications in Mathematical Analysis}, volume = {05}, number = {1}, pages = {9-20}, year = {2017}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2017.21429}, 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.}, keywords = {$mu$-Fuzzy filtered module,Fuzzy inverse system,Fuzzy topological group,Krull's intersection theorem}, url = {https://scma.maragheh.ac.ir/article_21429.html}, eprint = {https://scma.maragheh.ac.ir/article_21429_30b2b3341076dddace48c4a072784c9e.pdf} }