Z-Small Monoform Modules

Muntaha Khudhair  Abbas; Inaam Mohammed Ali  Hadi

doi:10.24996/ijs.2024.65.12.24

Authors

Muntaha Khudhair Abbas Technical College of Management/Baghdad, Middle Technical University, Baghdad, Iraq
Inaam Mohammed Ali Hadi University of Baghdad, College of Education for Pure Science (Ibn Al-Haitham), Department of Mathematics, Baghdad, Iraq https://orcid.org/0009-0003-2102-8280

DOI:

https://doi.org/10.24996/ijs.2024.65.12.24

Keywords:

Monoform modules, small submodule, small monoform modules, Z-small monoform modules

Abstract

In this paper, a new proper generalization of small monoform modules, namely Z-Small monoform modules is introduced and studied. An R-module C is called Z-small monoform module (ZSM module; for short), if every non-zero partial endomorphism of C has Z-small kernel.