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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
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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:
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  7. Kanchan, Sharma, P. K., & Pathania, D. S. (2020). Intuitionistic 𝐿-fuzzy submodules. Advances in Fuzzy Sets and Systems, 25(2), 123–142.
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  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.
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