TY - JOUR AU - Majid Mohammed Abed, AU - Fatema F. Kareem, PY - 2020/09/10 Y2 - 2024/03/29 TI - A Study of The Density Property in Module Theory JF - JOURNAL OF ADVANCES IN MATHEMATICS JA - JAM VL - 19 IS - SE - Articles DO - 10.24297/jam.v19i.8839 UR - https://rajpub.com/index.php/jam/article/view/8839 SP - 40-46 AB - <p>In this paper, there are two main objectives. The first objective is to study the relationship between the density property and some modules in detail, for instance; semisimple and divisible modules. The Addition complement has a good relationship with the density property of the modules as this importance is highlighted by any submodule N of M has an addition complement with Rad(M)=0. The second objective is to clarify the relationship between the density property and the essential submodules with some examples. As an example of this relationship, we studied the torsion-free module and its relationship with the essential submodules in module M.</p> ER -