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Issue:On intuitionistic fuzzy semiprime submodules

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Title of paper: On intuitionistic fuzzy semiprime submodules
Author(s):
P. K. Sharma
Post-Graduate Department of Mathematics, D.A.V.College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 2, pages 161–171
DOI: https://doi.org/10.7546/nifs.2022.28.2.161-171
Download:  PDF (189  Kb, File info)
Abstract: The purpose of this paper is to extend the notion of ordinary semiprime submodules to intuitionistic fuzzy semiprime submodules. Also we introduce and study new properties of intuitionistic fuzzy semiprime submodules. Many related results are obtained.
Keywords: Intuitionistic fuzzy module, Intuitionistic fuzzy semiprime module, Intuitionistic fuzzy semiprime ideal.
AMS Classification: 03F55, 03G25, 13C05, 13C13, 13A15.
References:
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  12. Sharma, P. K. (2011). (α; β)-cut of intuitionistic fuzzy modules. International Journal of Mathematical Sciences and Applications, 1(3), 1489–1492.
  13. Sharma, P. K. (2022). On intuitionistic fuzzy multiplication modules. Annals of Fuzzy Mathematics and Informatics, 23(3), 295–309.
  14. Sharma, P. K., & Kanchan. (2020). On intuitionistic L-fuzzy primary and P-primary submodules. Malaya Journal of Matematik, 8(2), 1417–1426.
  15. Sharma, P. K., & Kanchan. (2021). The topological structure on the spectrum of intuitionistic L-fuzzy prime submodules. Annals of Fuzzy Mathematics and Informatics, 21(2), 195–215.
  16. Sharma, P. K., Kanchan, & Pathania, D. S. (2020). On decomposition of intuitionistic fuzzy prime submodules. Notes on Intuitionistic Fuzzy Sets, 26(2), 25–32.
  17. Sharma, P. K., & Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module. International Journal of Computer Science and Information Technology, 9(4), 1–15.
  18. Sharma, P. K., & Kaur, G. (2018). On intuitionistic fuzzy prime submodules. Notes on Intuitionistic Fuzzy Sets, 24(4), 97–112.
  19. Sharma, P. K., Lata, H., & Bharadwaj, N. (2023). Intuitionistic fuzzy prime radical and intuitionistic fuzzy primary ideal of a Γ-ring. Creative Mathematics and Informatics. 32(1), (to appear).
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