Extension of Krull's intersection theorem for fuzzy module

Sedighi, Ali Reza; Hosseini, Mohammad Hossein

doi:10.22130/scma.2017.21429

Document Type : Research Paper

Authors

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.

https://doi.org/10.22130/scma.2017.21429

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.

Keywords

20.1001.1.23225807.2017.05.1.2.5

Main Subjects

Fuzzy Topology

References

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Sahand Communications in Mathematical Analysis

Extension of Krull's intersection theorem for fuzzy module

References

References

Volume 05, Issue 1
January 2017
Pages 9-20

Extension of Krull's intersection theorem for fuzzy module

References

References

Volume 05, Issue 1January 2017Pages 9-20

Volume 05, Issue 1
January 2017
Pages 9-20