A RECENT GENERALIZATION OF COFINITELY INJECTIVE MODULES
| dc.contributor.author | Sozen, Esra Ozturk | |
| dc.date.accessioned | 2025-03-23T19:25:32Z | |
| dc.date.available | 2025-03-23T19:25:32Z | |
| dc.date.issued | 2023 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | Let R be an associative ring with identity and M be a left R-module. In this paper, we define modules that have the property (8 CE) ((8-CEE)), these are modules that have a 8-supplement (ample 8 supplements) in every cofinite extension which are generalized version of modules that have the properties (CE) and (CEE) introduced in [6] and so a generalization of Zoschinger's modules with the properties (E) and (EE) given in [23]. We investigate various properties of these modules along with examples. In particular we prove these: (1) a module M has the property (8-CEE) if and only if every submodule of M has the property (8 -CE); (2) direct summands of a module that has the property (8 -CE) also have the property (8 -CE); (3) each factor module of a module that has the property (8 -CE) also has the property (8 -CE) under a special condition; (4) every module with composition series has the property (8 CE); (5) over a 8 -V-ring a module M has the property (8 -CE) if and only if M is cofinitely injective; (6) a ring R is 8-semiperfect if and only if every left R-module has the property (8 -CE). | |
| dc.identifier.doi | 10.5831/HMJ.2023.45.3.397 | |
| dc.identifier.endpage | 409 | |
| dc.identifier.issn | 1225-293X | |
| dc.identifier.issn | 2288-6176 | |
| dc.identifier.issue | 3 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 397 | |
| dc.identifier.uri | https://doi.org/10.5831/HMJ.2023.45.3.397 | |
| dc.identifier.uri | https://hdl.handle.net/11486/4494 | |
| dc.identifier.volume | 45 | |
| dc.identifier.wos | WOS:001103986500011 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.institutionauthor | Sozen, Esra Ozturk | |
| dc.language.iso | en | |
| dc.publisher | Honam Mathematical Soc | |
| dc.relation.ispartof | Honam Mathematical Journal | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | 8-supplement | |
| dc.subject | 8-semiperfect ring | |
| dc.subject | cofinite extension | |
| dc.title | A RECENT GENERALIZATION OF COFINITELY INJECTIVE MODULES | |
| dc.type | Article |
