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Issue:On intuitionistic L-fuzzy socle of modules

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Title of paper: On intuitionistic L-fuzzy socle of modules
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 29 (2023), Number 1, pages 65–73
DOI: https://doi.org/10.7546/nifs.2023.29.1.65-73
Download:  PDF (239  Kb, File info)
Abstract: In this paper we try to study the intuitionistic 𝐿-fuzzy aspects of socle of modules over rings. We demonstrate some properties of a socle of intuitionistic 𝐿-fuzzy submodules and their relations with intuitionistic 𝐿-fuzzy essential submodules and a family of intuitionistic 𝐿-fuzzy complemented submodules of a module. Some related results are also established.
Keywords: Intuitionistic 𝐿-fuzzy submodule, Intuitionistic 𝐿-fuzzy simple submodule, Intuitionistic 𝐿-fuzzy essential submodule, Socle of an intuitionistic 𝐿-fuzzy submodule.
AMS Classification: 08A72, 03F55, 16D10, 16D60.
References:
  1. Anderson, F. W., & Fuller, K. R. (1992). Rings and Categories of Modules. 2nd edition. Springer Verlag.
  2. Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
  3. Atanassov, K., & Stoeva, S. (1984). Intuitionistic 𝐿-fuzzy sets. Cybernetics and System Research, Vol. 2. Elsevier Sci. Publ., Amsterdam, 539–540.
  4. Birkhoff, G. (1967). Lattice Theory. American Mathematical Society, Col. Pub., Providence.
  5. Deschrijver, G., & Kerre, E. E. (2003). On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133, 227–235.
  6. Goguen, J. (1967). 𝐿-fuzzy sets. Journal of Mathematical Analysis and Applications, 18, 145–174.
  7. Kanchan, Sharma, P. K., & Pathania, D. S. (2020). Intuitionistic 𝐿-fuzzy submodules. Advances in Fuzzy Sets and Systems, 25(2), 123–142.
  8. Kasch, F. (1982). Modules and Rings. Academic Press, London.
  9. Meena, K., & Thomas, K. V. (2011). Intuitionistic 𝐿-fuzzy subrings. International Mathematics Forum, 6(52), 2561–2572.
  10. Palaniappan, N., Naganathan, S., & Arjunan, K. (2009). A study on intuitionistic 𝐿-fuzzy subgroups. Applied Mathematics Sciences, 3(53), 2619–2624.
  11. Sharma, P. K., & Kanchan. (2018). On intuitionistic 𝐿-fuzzy prime submodules. Annals of Fuzzy Mathematics and Informatics, 16(1), 87–97.
  12. Sharma, P. K., & Kanchan. (2020). On intuitionistic 𝐿-fuzzy primary and 𝑃-primary submodules. Malaya Journal of Matematik, 8(4), 1417–1426.
  13. Sharma, P. K., Kanchan, & Pathania, D. S. (2021). Intuitionistic 𝐿-fuzzy essential and closed submodules. Notes on Intuitionistic Fuzzy Sets, 27(4), 44–54.
  14. Sharma, P. K., Kanchan, & Pathania, D. S. (2021). Simple and semi-simple intuitionistic 𝐿-fuzzy modules. 7th International Conference on IFS and Contemporary Mathematics, May 25–29, 2021, Turkey.
  15. Wang, G. J., & He, Y. Y. (2000). Intuitionistic fuzzy sets and 𝐿-fuzzy sets. Fuzzy Sets and Systems, 110, 271–274.
  16. Wisbauer, R. (1991). Foundations of Module and Ring Theory. Gordon and Breach, Philadelphia.
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