R*-Small Submodules and -Hollow Modules

Mustafa Mohammed  Jasim; Wasan  Khalid

doi:10.24996/ijs.2025.66.2.9

Authors

Mustafa Mohammed Jasim Mathematics Department, College of Science, University of Baghdad, Iraq https://orcid.org/0009-0005-9068-8519
Wasan Khalid Mathematics Department, College of Science, University of Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.2.9

Keywords:

e*-essential submodule, R*-hollow module, R*-small submodule

Abstract

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.