R*-Small Submodules and -Hollow Modules

The purpose of this study is to present a new concepts on a module M over a ring, these concepts is called R*-small sub module, R*-hollow module which present generalizations of the small submodule and hollow module, respectively. Key characteristics of these concepts such as the image and direct sum of R*-small sub module, R*-hollow module are R*-small submodule, R*-hollow submodule, respectively.