On a new variation of injective modules
| dc.contributor.author | Türkmen, Ergül | |
| dc.contributor.author | Türkmen, Burcu Nişancı | |
| dc.contributor.author | Pancar, Ali | |
| dc.contributor.author | Nebiyev, Celil | |
| dc.contributor.department | Other | tr_TR |
| dc.contributor.faculty | Other | tr_TR |
| dc.date.accessioned | 2021-11-01T11:50:21Z | |
| dc.date.available | 2021-11-01T11:50:21Z | |
| dc.date.issued | 2019-02-01 | |
| dc.description.abstract | In this paper, we provide various properties of GE and GEE-modules, a new variation of injective modules. We call M a GE-module if it has a g-supplement in every extension N and, we call also M a GEE-module if it has ample g-supplements in every extension N. In particular, we prove that every semisimple module is a GE-module. We show that a module M is a GEE-module if and only if every submodule is a GE-module. We study the structure of GE and GEE-modules over Dedekind domains. Over Dedekind domains the class of GE-modules lies between WS-coinjective modules and Zöschinger's modules with the property (E). We also prove that, if a ring R is a local Dedekind domain, an R-module M is a GE-module if and only if M≅(R^{∗})ⁿ⊕K⊕N, where R^{∗} is the completion of R, K is injective and N is a bounded module. | tr_TR |
| dc.description.index | Trdizin | tr_TR |
| dc.identifier.endpage | 711 | tr_TR |
| dc.identifier.issn/e-issn | 2618-6470 | |
| dc.identifier.issue | 1 | tr_TR |
| dc.identifier.startpage | 702 | tr_TR |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.464103 | tr_TR |
| dc.identifier.uri | http://hdl.handle.net/20.500.12575/75812 | |
| dc.identifier.volume | 68 | tr_TR |
| dc.language.iso | en | tr_TR |
| dc.publisher | Ankara Üniversitesi Fen Fakültesi | tr_TR |
| dc.relation.isversionof | 10.31801/cfsuasmas.464103 | tr_TR |
| dc.relation.journal | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics | tr_TR |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | tr_TR |
| dc.subject | g-supplement | tr_TR |
| dc.subject | GE-module | tr_TR |
| dc.title | On a new variation of injective modules | tr_TR |
| dc.type | Article | tr_TR |