| Title of paper:
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On intuitionistic L-fuzzy socle of modules
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| Author(s):
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| P. K. Sharma
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| Post-Graduate Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
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| pksharma@davjalandhar.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 1, pages 65–73
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| DOI:
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https://doi.org/10.7546/nifs.2023.29.1.65-73
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| Download:
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 PDF (239 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic 𝐿-fuzzy submodule, Intuitionistic 𝐿-fuzzy simple submodule, Intuitionistic 𝐿-fuzzy essential submodule, Socle of an intuitionistic 𝐿-fuzzy submodule.
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| AMS Classification:
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08A72, 03F55, 16D10, 16D60.
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| References:
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