Publication: Circle Plus-Cofinitely Supplemented Modules
| dc.contributor.author | Calisici, H | |
| dc.contributor.author | Pancar, A | |
| dc.date.accessioned | 2020-06-21T15:43:29Z | |
| dc.date.available | 2020-06-21T15:43:29Z | |
| dc.date.issued | 2004 | |
| dc.department | OMÜ | en_US |
| dc.department-temp | Ondokuz Mayis Univ, Fac Educ, Dept Math, TR-05189 Amasya, Turkey -- Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, TR-55139 Samsun, Turkey -- | en_US |
| dc.description.abstract | Let R be a ring and M a right R-module. M is called circle plus-cofinitely supplemented if every submodule N of M with M/N finitely generated has a supplement that is a direct summand of M. In this paper various properties of the circle plus-cofinitely supplemented modules are given. It is shown that (1) Arbitrary direct sum of circle plus-cofinitely supplemented modules is circle plus-cofinitely supplemented. (2) A ring R is semiperfect if and only if every free R-module is circle plus-cofinitely supplemented. In addition, if M has the summand sum property, then M is circle plus-cofinitely supplemented iff every maximal submodule has a supplement that is a direct summand of M. | en_US |
| dc.identifier.doi | 10.1007/s10587-004-6453-1 | |
| dc.identifier.endpage | 1088 | en_US |
| dc.identifier.issn | 0011-4642 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.startpage | 1083 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s10587-004-6453-1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/21634 | |
| dc.identifier.volume | 54 | en_US |
| dc.identifier.wos | WOS:000225990300021 | |
| dc.language.iso | en | en_US |
| dc.publisher | Czechoslovak Mathematical Journal | en_US |
| dc.relation.journal | Czechoslovak Mathematical Journal | 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 | Cofinite Submodule | en_US |
| dc.subject | Circle Plus-Cofinitely Supplemented Module | en_US |
| dc.title | Circle Plus-Cofinitely Supplemented Modules | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |
