Semi Homomorphisms and Algebraic Relations Between Strong Refined Neutrosophic Modules and Strong Neutrosophic Modules

The objective of this paper is to define and study the concept of semi homomorphism between two modules defined over different rings. Semi homomorphisms can help in the study of algebraic relations between two modules defined over two different rings. An application of this functions is presented in the case of refined strong neutrosophic modules and neutrosophic strong modules, where strong neutrosophic modules are shown to be semi homomorphic images of their corresponding strong refined neutrosophic modules. Also, this work presents a discussion of the algebraic structure of some semi homomorphisms and isomorphisms.