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Issue:Intuitionistic L-fuzzy classical prime and intuitionistic L-fuzzy 2-absorbing submodules

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Title of paper: Intuitionistic L-fuzzy classical prime and intuitionistic L-fuzzy 2-absorbing submodules
Author(s):
P. K. Sharma
Post-Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
pksharma@davjalandhar.com
Presented at: 26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 99–113
DOI: https://doi.org/10.7546/nifs.2023.29.2.99-113
Download:  PDF (253  Kb, Info)
Abstract: Let L be a complete lattice. We introduce and characterise intuitionistic L-fuzzy classical prime submodule and intuitionistic L-fuzzy 2-absorbing submodules of a unitary module M over a commutative ring R with identity. We compare both of these submodules with intuitionistic L-fuzzy prime submodules. It is proven that in the case of the multiplication module M, the two notions of intuitionistic L-fuzzy classical prime submodules and intuitionistic L-fuzzy prime submodules coincide. Many other related results concerning these notions are obtained.
Keywords: Intuitionistic L-fuzzy submodule, Intuitionistic L-fuzzy classical prime submodule, Intuitionistic L-fuzzy 2-absorbing submodule, Intuitionistic L-fuzzy prime (2-absorbing) ideal.
AMS Classification: 03F55, 08A72, 13C05, 13C13, 13C99.
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