Cofinitely Goldie*-Supplemented Modules
dc.contributor.author | Ayşe Tuğba GÜROĞLU | |
dc.date.accessioned | 2024-07-24T09:14:23Z | |
dc.date.available | 2024-07-24T09:14:23Z | |
dc.date.issued | 2023 | |
dc.description.abstract | One 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. | |
dc.identifier.DOI-ID | 10.53570/jnt.1260505 | |
dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/26019 | |
dc.language.iso | eng | |
dc.title | Cofinitely Goldie*-Supplemented Modules | |
dc.type | Araştırma Makalesi |