Title of article
Extension of Krullʹs intersection theorem for fuzzy module
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
Issue Information
دوفصلنامه با شماره پیاپی 5 سال 2017
Pages
12
From page
9
To page
20
Abstract
-
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.
Journal title
Sahand Communications in Mathematical Analysis
Journal title
Sahand Communications in Mathematical Analysis
Record number
2399035
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