Author/Authors :
-، - نويسنده Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran. Sedighi, Ali Reza , -، - نويسنده Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran. Hosseini, Mohammad Hossein
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 Krullʹs intersection theorem of fuzzy ideals by using concept $mu$-adic completion.
