Publication: A Generalization of ?-Cofinitely Supplemented Modules
| dc.contributor.author | Koşar B. | |
| dc.contributor.author | Türkmen B.N. | |
| dc.date.accessioned | 2020-06-21T09:42:32Z | |
| dc.date.available | 2020-06-21T09:42:32Z | |
| dc.date.issued | 2016 | |
| dc.department | OMÜ | en_US |
| dc.department-temp | Koşar, B., Ondokuz Mayis University, Samsun, Turkey -- Türkmen, B.N., Amasya University, Ipekköy, Amasya, Turkey -- | en_US |
| dc.description.abstract | We say that a module M is a cms-module if, for every cofinite submodule N of M, there exist submodules K and K? of M such that K is a supplement of N, and K, K? are mutual supplements in M. In this article, the various properties of cms-modules are given as a generalization of ?-cofinitely supplemented modules. In particular, we prove that a ?-projective module M is a cms-module if and only if M is ?-cofinitely supplemented. Finally, we show that every free R-module is a cms-module if and only if R is semiperfect. © 2016 Iranian Mathematical Society. | en_US |
| dc.identifier.endpage | 99 | en_US |
| dc.identifier.issn | 1018-6301 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 91 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/5115 | |
| dc.identifier.volume | 42 | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Iranian Mathematical Society | en_US |
| dc.relation.journal | Bulletin of the Iranian Mathematical Society | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (?-)Cofinitely Supplemented Module | en_US |
| dc.subject | Cofinite Submodule | en_US |
| dc.subject | Supplements | en_US |
| dc.title | A Generalization of ?-Cofinitely Supplemented Modules | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |