Totally Goldie*-Supplemented Modules
| dc.contributor.author | Güroğlu A.T. | |
| dc.date.accessioned | 2025-04-10T11:03:08Z | |
| dc.date.available | 2025-04-10T11:03:08Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | In this paper, we first consider the properties of the Goldie*-supplemented modules, and we study the properties of totally Goldie*-supplemented modules as a version of the Goldie*-supplemented modules. A module M is called Goldie*-supplemented module if, for every submodule U of M, there exists a supplement submodule S of M such that Uβ∗S. A module M is called a totally Goldie*-supplemented module if, for every submodule A of M, A is a Goldie*-supplemented module. We emphasize that if M is totally Goldie*-supplemented, then (Formula presented.) is totally Goldie*-supplemented for some small submodule U of M. In addition, (Formula presented.) is totally Goldie*-supplemented if A and B are totally Goldie*-supplemented. Furthermore, we mention the connection between totally Goldie*-supplemented, totally supplemented, and Goldie*-supplemented. © 2023 by the author. | |
| dc.identifier.DOI-ID | 10.3390/math11214427 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/44505 | |
| dc.publisher | Multidisciplinary Digital Publishing Institute (MDPI) | |
| dc.title | Totally Goldie*-Supplemented Modules | |
| dc.type | Article |