%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