336 193
Full Length Article
Volume 8 , Issue 2, PP: 118-127 , 2020


A Note on Neutrosophic Submodule of an R-module M

Authors Names :   Binu R   1 *  

1  Affiliation :  Rajagiri School of Engineering and Technology, Kerala, India

    Email :  1984binur@gmail.com

Doi   :  10.5281/zenodo.3903173

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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