EXTENSION OF KRULL’S INTERSECTION THEOREMFOR FUZZY MODULE

In this article we introduce µ-filtered fuzzy modulewith a family of fuzzy submodules. It shows the relation betweenµ-filtered fuzzy modules and crisp filtered modules by level sets.We investigate fuzzy topology on the µ-filtered fuzzy module andapply that to introduce fuzzy completion. Finally we extend Krull’sintersection theorem of fuzzy ideals by using concept µ-adic completion

Keywords:

µ-Fuzzy filtered module , Fuzzy inverse system , Fuzzytopological group , Krull’s intersection theorem