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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2018 year|{{PAGENAME}}]]
{{issue/title
| title = On intuitionistic fuzzy prime submodules
| shortcut = nifs/24/4/97-112
}}
{{issue/author
| author = P. K. Sharma
| institution = Post Graduate Department of Mathematics, D.A.V. College
| address = Jalandhar, Punjab, India
| email-before-at = pksharma
| email-after-at = davjalandhar.com
}}
{{issue/author
| author = Gagandeep Kaur
| institution = Research Scholar, IKG PT University
| address = Jalandhar, Punjab, India
| email-before-at = taktogagan
| email-after-at = gmail.com
}}
{{issue/data
| issue = [[Notes on Intuitionistic Fuzzy Sets/24/4|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
| file = NIFS-24-4-097-112.pdf
| format = PDF
| size = 220 Kb
| 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 = 03F55, 16D10, 46J20.
| references =

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# Sharma, P. K. (2013). (''α'', ''β'')-Cut of intuitionistic fuzzy modules-II, Int. J. of Mathematical Sciences and Applications, 3 (1), 11–17.
# Sharma, P. K., & Kaur, T. (2015). Intuitionistic fuzzy G-modules. Notes on Intuitionistic Fuzzy Sets, 21 (1), 6–23.
# Sharma, P. K., & Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module, . International Journal of Computer Sciences and Information Techonology, 9(4), 1–15.
# Sharma, P. K., & Kaur, G. (2017). Intuitionistic fuzzy prime spectrum of a ring. CiiT International Journal of Fuzzy Systems, 9 (8), 167–175.
# Sharma, P. K., & Kaur, G. (2018). On the intuitionistic fuzzy polynomial ideals of a ring. Notes on Intuitionistic Fuzzy Sets, 24 (1), 48–59.
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