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Intuitionistic Fuzzy Cosmall Submodules


Affiliations
1 Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
2 IKG PT University, Jalandhar, Punjab, India
     

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Let M be an R-module, A and B are intuitionistic fuzzy submodules of M with A⊆B. Then A is called an intuitionistic fuzzy cosmall submodule of B in M if B/A << IF M /A (=Ω(M)/A*). In this paper an attempt has been to study intuitionistic fuzzy cosmall submodules and investigate various properties of such intuitionistic fuzzy submodules. The notion of an intuitionistic fuzzy hollow module is also introduce and a relationship of this with the intuitionistic fuzzy indecomposable module and the factor module are established.

Keywords

Intuitionistic Fuzzy Small (Essential) Submodule, Intuitionistic Fuzzy Indecomposable Module, Intuitionistic Fuzzy Cosmall Submodule.
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  • Intuitionistic Fuzzy Cosmall Submodules

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Authors

Poonam Kumar Sharma
Department of Mathematics, D.A.V. College, Jalandhar, Punjab, India
Gagandeep Kaur
IKG PT University, Jalandhar, Punjab, India

Abstract


Let M be an R-module, A and B are intuitionistic fuzzy submodules of M with A⊆B. Then A is called an intuitionistic fuzzy cosmall submodule of B in M if B/A << IF M /A (=Ω(M)/A*). In this paper an attempt has been to study intuitionistic fuzzy cosmall submodules and investigate various properties of such intuitionistic fuzzy submodules. The notion of an intuitionistic fuzzy hollow module is also introduce and a relationship of this with the intuitionistic fuzzy indecomposable module and the factor module are established.

Keywords


Intuitionistic Fuzzy Small (Essential) Submodule, Intuitionistic Fuzzy Indecomposable Module, Intuitionistic Fuzzy Cosmall Submodule.

References