On Annihilator-Extending Modules
Keywords:Annihilator Essential submodules, Annihilator-closed submodules, Extending modules, Annihilator-Extending modules
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.