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International Journal of Neutrosophic Science
Volume 17 , Issue 2, PP: 110 - 126 , 2021 | Cite this article as | XML | Html |PDF

Title

Neutrosophic Multigroup Homomorphism and Some of its Properties

Authors Names :   Memet Sahin   1 *  

1  Affiliation :  Department of Mathematics, Gaziantep University, Gaziantep-Turkey

    Email :  mesahin@gantep.edu.tr



Doi   :   https://doi.org/10.54216/IJNS.170203

Received: June 10, 2021 Accepted: December 09, 2021

Abstract :

In a way, the notion of neutrosophic multigroup is an application of neutrosophic multisets to the theory of group. The concept of neutrosophic multigroup is an algebraic structure of neutrosophic multiset that generalizes both the theories of classical group and neutrosophic group. Neutrosophic multigroup constitutes an application of neutrosophic multiset to the elementary theory of classical group. In this paper, we propose the concept of homomorphism on neutrosophic multigroup. We define homomorphism kerlf, automorphism, homomorphic image and homomorphic preimage of neutrosophic multigroup, respectively. Some homomorphic properties of neutrosophic multigroup are explicated. Some homomorphic properties of neutrosophic multigroup are also discussed. This new concept of homomorphism as a bridge among set theory, fuzzy set theory, neutrosophic multiset theory and group theory and also shows the effect of neutrosophic multisets on a group structure. We finally derive the basic properties of neutrosophic multigroup homomorphism and give its applications to group theory

Keywords :

Neutrosophic multiset; Neutrosophic multi group; neutrosophic multigroup homomorphism.s

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Cite this Article as :
Memet Sahin, Neutrosophic Multigroup Homomorphism and Some of its Properties, International Journal of Neutrosophic Science, Vol. 17 , No. 2 , (2021) : 110 - 126 (Doi   :  https://doi.org/10.54216/IJNS.170203)