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Open AccessArticle

Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups

Department of Mathematics, Gaziantep University, Gaziantep 27310, Turkey
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Symmetry 2018, 10(8), 321; https://doi.org/10.3390/sym10080321
Received: 17 July 2018 / Revised: 27 July 2018 / Accepted: 31 July 2018 / Published: 3 August 2018
In classical group theory, homomorphism and isomorphism are significant to study the relation between two algebraic systems. Through this article, we propose neutro-homomorphism and neutro-isomorphism for the neutrosophic extended triplet group (NETG) which plays a significant role in the theory of neutrosophic triplet algebraic structures. Then, we define neutro-monomorphism, neutro-epimorphism, and neutro-automorphism. We give and prove some theorems related to these structures. Furthermore, the Fundamental homomorphism theorem for the NETG is given and some special cases are discussed. First and second neutro-isomorphism theorems are stated. Finally, by applying homomorphism theorems to neutrosophic extended triplet algebraic structures, we have examined how closely different systems are related. View Full-Text
Keywords: neutro-monomorphism; neutro-epimorphism; neutro-automorphism; fundamental neutro-homomorphism theorem; first neutro-isomorphism theorem; and second neutro-isomorphism theorem neutro-monomorphism; neutro-epimorphism; neutro-automorphism; fundamental neutro-homomorphism theorem; first neutro-isomorphism theorem; and second neutro-isomorphism theorem
MDPI and ACS Style

Çelik, M.; Shalla, M.M.; Olgun, N. Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups. Symmetry 2018, 10, 321.

AMA Style

Çelik M, Shalla MM, Olgun N. Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups. Symmetry. 2018; 10(8):321.

Chicago/Turabian Style

Çelik, Mehmet; Shalla, Moges M.; Olgun, Necati. 2018. "Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups" Symmetry 10, no. 8: 321.

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