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Issue:On decomposition of intuitionistic fuzzy prime submodules

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Title of paper: On decomposition of intuitionistic fuzzy prime submodules
Author(s):
P. K. Sharma
Post Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Kanchan
Research Scholar, IKG PT University, Jalandhar, Punjab, India
kanchan4usoh@gmail.com
D. S. Pathania
Department of Applied Sciences, GNDEC, Ludhiana, Punjab, India
despathania@yahoo.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 2, pages 25–32
DOI: https://doi.org/10.7546/nifs.2020.26.2.25-32
Download:  PDF (167  Kb, File info)
Abstract: This article is in continuation of the first author’s previous paper on intuitionistic fuzzy prime submodules, [13]. In this paper, we explore the decomposition of intuitionistic fuzzy submodule as the intersection of finite many intuitionistic fuzzy prime submodules. Many other forms of decomposition like irredundant and normal decomposition are also investigated.
Keywords: Intuitionistic fuzzy prime ideal (submodule), Residual quotient, Intuitionistic fuzzy prime decomposition, Irredundant and normal decomposition.
AMS Classification: 03F55, 16D10, 46J20.
References:
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  10. Sharma, P. K. (2016). Reducibility and Complete Reducibility of intuitionistic fuzzy G-modules, Annals of Fuzzy Mathematics and Informatics, 11 (6), 885–898.
  11. 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.
  12. Sharma P. K., & Kaur, G. (2017). Intuitionistic fuzzy prime spectrum of a ring, CiiT International Journal of Fuzzy Systems, 9 (8), 167–175.
  13. Sharma P. K., & Kaur, G. (2018). On intuitionistic fuzzy prime submodules, Notes on Intuitionistic Fuzzy Sets, 24 (4), 97–112.
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