Article Fundamental Homomorphism Theorems for Neutrosophic Extended Triplet Groups
Author | : Mehmet Çelik |
Publisher | : Infinite Study |
Total Pages | : 14 |
Release | : |
ISBN-10 | : |
ISBN-13 | : |
Rating | : 4/5 ( Downloads) |
Book excerpt: 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.