Neutrosophic Quotient Submodules and Homomorphisms

Abstract

In this paper, we define two different kinds of neutrosophic submodules over a classical quotient R-module using single valued neutrosophic set. We also define neutrosophic submodule homomorphism and study the features of neutrosophic set under R-module homomorphism. Finally we conduct an investigation for the image and inverse image of neutrosophic submodule under classical homomorphim of R-module.