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Keywords = first neutro-isomorphism theorem

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14 pages, 786 KB  
Article
Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups
by Mehmet Çelik, Moges Mekonnen Shalla and Necati Olgun
Symmetry 2018, 10(8), 321; https://doi.org/10.3390/sym10080321 - 3 Aug 2018
Cited by 9 | Viewed by 4161
Abstract
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 [...] Read more.
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. Full article
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