On e*_Singular Supplement Submodules

Ali A.  Kabban; Wasan K.  Hasan

doi:10.24996/ijs.2025.66.12.%g

Authors

Ali A. Kabban Department of Mathematics, University of Baghdad, College of Science, Baghdad, Iraq
Wasan K. Hasan Department of Mathematics, University of Baghdad, College of Science, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.12.%25g

Keywords:

e*S-supplement submodule, weak e*S-supplement submodule, e*S-supplemented module, weakly e*S-supplemented module, ⊕e*S-supplemented module

Abstract

This paper aims present the main concepts of e*S-supplement submodules, weak e*S-supplement submodules, e*S-supplemented modules, weakly e*S-supplemented modules, cofinitely e*S-supplemented modules, and ⊕e*S-supplemented modules, as popularization of the concepts of supplement submodules, weakly supplement submodules, supplemented modules, weakly supplemented modules, cofinitely supplemented modules, and ⊕-supplemented modules respectively. We will prove some characteristics of these concepts.