Sedighi, A., Hosseini, M. (2017). Extension of Krull's intersection theorem for fuzzy module. Sahand Communications in Mathematical Analysis, 05(1), 9-20. doi: 10.22130/scma.2017.21429

Ali Reza Sedighi; Mohammad Hossein Hosseini. "Extension of Krull's intersection theorem for fuzzy module". Sahand Communications in Mathematical Analysis, 05, 1, 2017, 9-20. doi: 10.22130/scma.2017.21429

Sedighi, A., Hosseini, M. (2017). 'Extension of Krull's intersection theorem for fuzzy module', Sahand Communications in Mathematical Analysis, 05(1), pp. 9-20. doi: 10.22130/scma.2017.21429

Sedighi, A., Hosseini, M. Extension of Krull's intersection theorem for fuzzy module. Sahand Communications in Mathematical Analysis, 2017; 05(1): 9-20. doi: 10.22130/scma.2017.21429

Extension of Krull's intersection theorem for fuzzy module

^{1}Department of Mathematics, Faculty of mathematics and statistics, University of Birjand, Birjand, Iran.

^{2}Department of Mathematics, Faculty mathematics and statistics, University of Birjand, Birjand, Iran.

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 Krull's intersection theorem of fuzzy ideals by using concept $\mu$-adic completion.

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