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Journal of Fuzzy Set Valued Analysis | Vol.2016, Issue.2 | 2017-05-30 | Pages

Results on general fuzzy prime submodules

J. A'zami,M. F. Moghimi,N. Zamani

Abstract

For an arbitrary unital module $M$ over a commutative ring $R$, the notion of fuzzy $phi$-prime submodules will be defined. Some properties of this notion will be studied. It will be shown that the fuzzy $phi$-primeness of a fuzzy submodule $mu$ of $M$ together with other mild assumptions on $mu$ gives $mu$ as a fuzzy prime. The behavior of this concept in the product modules and fuzzy quotient modules will be studied. Also, several results concerning the fuzzy primeness of fuzzy localization submodules will be investigated.

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Results on general fuzzy prime submodules

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Keywords

fuzzy primeness of fuzzy localization submodules unital module prime

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J. A'zami,M. F. Moghimi,N. Zamani,.Results on general fuzzy prime submodules. 2016 (2),.

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