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International Journal of Neutrosophic Science
Volume 7 , Issue 2, PP: 87-96 , 2020 | Cite this article as | XML | Html |PDF


On Refined Neutrosophic R-module

Authors Names :   Necati Olgun   1 *     Ahmed Hatip   2  

1  Affiliation :  Department of Mathematics, Gaziantep University, Turkey

    Email :  olgun@gantep.edu.tr

2  Affiliation :  Department of Mathematics, Gaziantep University, Turkey

    Email :  kollnaar5@gmail.com

Doi   :   https://doi.org/10.54216/IJNS.070201

Abstract :

Modules are one of the fundamental and rich algebraic structure concerning some binary operations in the study of algebra. In this paper, some basic structures of refined neutrosophic R-modules and refined neutrosophic submodules in algebra are generalized. Some properties of refined neutrosophic R-modules and refined neutrosophic submodules are presented. More precisely, classical modules and refined neutrosophic rings are utilized. Consequently, refinedneutrosophic R- modules that are completely different from the classical modular in the structural properties are introduced. Also, neutrosophic R-module homomorphism is explained and some definitions and theorems are presented.  

Keywords :

Refined neutrosophic group ,  refined neutrosophic ring ,  refined neutrosophic R-module , weak refined neutrosophic R-module , strong refined neutrosophic R-module ,  refined neutrosophic R-module homomorphism.


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Cite this Article as :
Necati Olgun , Ahmed Hatip, On Refined Neutrosophic R-module, International Journal of Neutrosophic Science, Vol. 7 , No. 2 , (2020) : 87-96 (Doi   :  https://doi.org/10.54216/IJNS.070201)