e*Singular–Hollow Modules and e*Singular–Coclosed Submodules

Ali A.  Kabban; Wasan  Khalid

doi:10.24996/ijs.2025.66.6.%g

Authors

Ali A. Kabban Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0009-0002-8764-656X
Wasan Khalid Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.6.%25g

Keywords:

e*_singular modules, e*S–small submodule, e*S–hollow module, e*S–coessential submodule, e*S–coclosed submodule

Abstract

In this article, we will go over the basics of e*S–hollow modules, e*S–coessential submodules and e*S–coclosed submodules as a generalization of the concepts of hollow modules, coessential submodules and coclosed submodules, respectively. We shall demonstrate some characteristics of these ideas.