Some new relationships between hollow and supplemented modules with neutrosophic property

This thesis consists of eight sections. In section 1, literature review and motivation of the thesis, some definitions and remarks have been introduced. In section 2, supplement and small submodules, neutrosophic set, neutrosophic group and ring and neutrosophic modules have been studied. In Section 3, the concept of a hollow module is presented. In Section 4, some properties of the supplemented module are given. Also, in this section, related examples of some definitions are given. In Section 5, some new relationships between hollows and supplemented modules are given and some results related to these relationships are provided. In Section 6, the neutrosophic properties of the hollow module which has a small submodule are given. In Section 7, the neutrosophic hollow module namely Ω-hollow module and its properties are presented. In Section 8, it is made some implications about the main results regarding the objectives in the future.