Totally Goldie*-Supplemented Modules
dc.contributor.author | Güroglu, AT | |
dc.date.accessioned | 2025-04-10T10:28:41Z | |
dc.date.available | 2025-04-10T10:28:41Z | |
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 U beta*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 MU is totally Goldie*-supplemented for some small submodule U of M. In addition, M=A circle plus B 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. | |
dc.identifier.e-issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/20.500.14701/35497 | |
dc.language.iso | English | |
dc.title | Totally Goldie*-Supplemented Modules | |
dc.type | Article |