Ayşe Tuğba GÜROĞLU2024-07-242024-07-242023http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/26019One of the generalizations of supplemented modules is the Goldie*-supplemented module, defined by Birkenmeier et al. using β∗ relation. In this work, we deal with the con- cept of the cofinitely Goldie*-supplemented modules as a version of Goldie*-supplemented module. A left R-module M is called a cofinitely Goldie*-supplemented module if there is a supplement submodule S of M with Cβ∗S, for each cofinite submodule C of M . Evi- dently, Goldie*-supplemented are cofinitely Goldie*-supplemented. Further, if M is cofinitely Goldie*-supplemented, then M/C is cofinitely Goldie*-supplemented, for any submodule C of M . If A and B are cofinitely Goldie*-supplemented with M = A ⊕ B, then M is cofinitely Goldie*-supplemented. Additionally, we investigate some properties of the cofinitely Goldie*- supplemented module and compare this module with supplemented and Goldie*-supplemented modules.engAraştırma Makalesi10.53570/jnt.1260505