On Annihilator-Extending Modules

Yousef A.  Qasim; Sahira M.  Yaseen

doi:10.24996/ijs.2022.63.3.23

Authors

Yousef A. Qasim Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Sahira M. Yaseen Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.3.23

Keywords:

Annihilator Essential submodules, Annihilator-closed submodules, Extending modules, Annihilator-Extending modules

Abstract

Throughout this work we introduce the notion of Annihilator-closed submodules, and we give some basic properties of this concept. We also introduce a generalization for the Extending modules, namely Annihilator-extending modules. Some fundamental properties are presented as well as we discuss the relation between this concept and some other related concepts.