On intuitionistic fuzzy prime submodules

Poonam Kumar Sharma, Gagandeep Kaur · Notes on Intuitionistic Fuzzy Sets · 2018

In this paper, we study intuitionistic fuzzy prime submodules with the help of residual quotient subsets of ring and modules.Also a complete characterisation of an intuitionistic fuzzy prime submodule is given.A relationship between intuitionistic fuzzy prime submodule and intuitionistic fuzzy maximal submodule is established.Homeomorphic image and pre-image of intuitionistic fuzzy prime submodules are obtained.

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