1
Rajagiri School of Engineering and Technology, Kerala, India
(1984binur@gmail.com)
Abstract :
The paper focuses on the applications of neutrosophic set theory in the domain of classical algebraic structures, especially R-module. This study discusses some algebraic operations of neutrosophic sets of an R-moduleM, induced by the operations in M and demonstrates certain properties of the neutrosophic submodules of an R-module. The ideas of R module’s non-empty arbitrary family of neutrosophic submodules are characterized, and related outcomes are proved. The last section of this paper also derives a necessary and sufficient condition for a neutrosophic set of an R-module M.
Keywords :
R-module , Neutrosophic Set , Neutrosophic Submodule , Support , Neutrosophic Point
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| Style | # |
|---|---|
| MLA | Binu R. "A Note on Neutrosophic Submodule of an R-module M." International Journal of Neutrosophic Science, Vol. 8, No. 2, 2020 ,PP. 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |
| APA | Binu R. (2020). A Note on Neutrosophic Submodule of an R-module M. Journal of International Journal of Neutrosophic Science, 8 ( 2 ), 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |
| Chicago | Binu R. "A Note on Neutrosophic Submodule of an R-module M." Journal of International Journal of Neutrosophic Science, 8 no. 2 (2020): 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |
| Harvard | Binu R. (2020). A Note on Neutrosophic Submodule of an R-module M. Journal of International Journal of Neutrosophic Science, 8 ( 2 ), 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |
| Vancouver | Binu R. A Note on Neutrosophic Submodule of an R-module M. Journal of International Journal of Neutrosophic Science, (2020); 8 ( 2 ): 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |
| IEEE | Binu R, A Note on Neutrosophic Submodule of an R-module M, Journal of International Journal of Neutrosophic Science, Vol. 8 , No. 2 , (2020) : 118-127 (Doi : https://doi.org/10.54216/IJNS.080205) |