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Issue:On intuitionistic fuzzy prime submodules

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Title of paper: On intuitionistic fuzzy prime submodules
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Gagandeep Kaur
Research Scholar, IKG PT University, Jalandhar, Punjab, India
taktogagan@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 97–112
DOI: https://doi.org/10.7546/nifs.2018.24.4.97-112
Download:  PDF (220 Kb  Kb, Info)
Abstract: 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.
Keywords: Intuitionistic fuzzy prime (maximal) submodule, Intuitionistic fuzzy prime (maximal) ideal, Residual quotients of intuitionistic fuzzy submodules.
AMS Classification: 03F55, 16D10, 46J20.
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