On Rings With One Middle Class of Injectivity Domains
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Demirci, Yilmaz Mehmet | |
| dc.contributor.author | Turkmen, Burcu Nisanci | |
| dc.contributor.author | Turkmen, Ergul | |
| dc.contributor.other | 01. Abdullah Gül University | |
| dc.contributor.other | 02.01. Mühendislik Bilimleri | |
| dc.contributor.other | 02. Mühendislik Fakültesi | |
| dc.date.accessioned | 2025-09-25T10:53:38Z | |
| dc.date.available | 2025-09-25T10:53:38Z | |
| dc.date.issued | 2022 | |
| dc.description | Alizade, Refail/0000-0003-4444-9136; Demirci, Yilmaz Mehmet/0000-0003-3802-4211 | en_US |
| dc.description.abstract | A module M is said to be modest if the injectivity domain of M is the class of all crumbling modules. In this paper, we investigate the basic properties of modest modules. We provide characterizations of some classes of rings using modest modules. In particular, we show that a ring having the class of crumbling modules as the only right middle class of injectivity domains is either a right V-ring or right Noetherian; and a commutative ring with this property is regular. We also give criteria for a ring having the class of crumbling modules as the only right middle class of injectivity domains. | en_US |
| dc.identifier.issn | 1331-0623 | |
| dc.identifier.scopus | 2-s2.0-85130413333 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/4312 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Osijek, dept Mathematics | en_US |
| dc.relation.ispartof | Mathematical Communications | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Injective Module | en_US |
| dc.subject | Poor Module | en_US |
| dc.subject | Modest Module | en_US |
| dc.subject | Ssi-Ring | en_US |
| dc.subject | V-Ring | en_US |
| dc.subject | Wv-Ring | en_US |
| dc.subject | Noetherian Ring | en_US |
| dc.title | On Rings With One Middle Class of Injectivity Domains | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
| gdc.author.id | Demirci, Yilmaz Mehmet/0000-0003-3802-4211 | |
| gdc.author.institutional | Demirci, Yılmaz Mehmet | |
| gdc.author.scopusid | 6701555358 | |
| gdc.author.scopusid | 36674901500 | |
| gdc.author.scopusid | 37117995100 | |
| gdc.author.scopusid | 36661459200 | |
| gdc.author.wosid | Alizade, Refail/Jrf-9055-2023 | |
| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Alizade, Rafail] Yasar Univ, Dept Math, Univ Caddesi, Agacli Yol 37-39, TR-35100 Izmir, Turkey; [Demirci, Yilmaz Mehmet] Abdullah Gul Univ, Dept Engn Sci, TR-38080 Kayseri, Turkey; [Turkmen, Burcu Nisanci; Turkmen, Ergul] Amasya Univ, Dept Math, TR-05100 Amasya, Turkey | en_US |
| gdc.description.endpage | 126 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.startpage | 109 | en_US |
| gdc.description.volume | 27 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.wos | WOS:000794070000009 | |
| gdc.scopus.citedcount | 2 | |
| gdc.wos.citedcount | 2 | |
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