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Extension of Krull's intersection theorem for fuzzy module
Journal: Sahand Communications in Mathematical Analysis (Vol.5, No. 1)Publication Date: 2017-01-01
Authors : Ali Reza Sedighi; Mohammad Hossein Hosseini;
Page : 9-20
Keywords : mu-Fuzzy filtered module; Fuzzy inverse system; Fuzzy topological group; Krull's intersection theorem;
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Abstract
In this article we introduce μ-filtered fuzzy module with a family of fuzzy submodules. It shows the relation between μ-filtered fuzzy modules and crisp filtered modules by level sets. We investigate fuzzy topology on the μ-filtered fuzzy module and apply that to introduce fuzzy completion. Finally we extend Krull's intersection theorem of fuzzy ideals by using concept μ-adic completion.
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Last modified: 2017-07-24 14:23:14