Small Annihilator Essential Submodules

Abstract

In this research, we will present the concept of small annihilator essential submodules. It was generalization of essential submodules. In addition, investigate properties and characterizations of small annihilator essential submodules. Additionally, we introduce the notion of small annihilator closed submodules and small annihilator uniform modules which serve as generalization of closed submodules and uniform modules, respectively. These concepts extend existing ideas and offer new perspectives on the relationships between different submodule and module types within R-modules .