On rings with one middle class of injectivity domains
| dc.contributor.author | Refail Alizade | |
| dc.contributor.author | Yılmaz Mehmet Demirci | |
| dc.contributor.author | Burcu Nişanci Türkmen | |
| dc.contributor.author | Ergül Türkmen | |
| dc.contributor.author | Türkmen, Burcu Nişancı | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Türkmen, Ergül | |
| dc.contributor.author | Demirci, Yilmaz Mehmet | |
| dc.date.accessioned | 2025-10-06T17:50:11Z | |
| dc.date.issued | 2022 | |
| 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. © 2022 Elsevier B.V. All rights reserved. | |
| dc.identifier.issn | 13310623 | |
| dc.identifier.issn | 1331-0623 | |
| dc.identifier.scopus | 2-s2.0-85130413333 | |
| dc.identifier.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85130413333&partnerID=40&md5=2bfc94ded56d8b43da3123eec7aac88d | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/8824 | |
| dc.language.iso | English | |
| dc.publisher | Udruga Matematicara Osijek | |
| dc.relation.ispartof | Mathematical Communications | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.source | Mathematical Communications | |
| dc.subject | Injective Module, Modest Module, Noetherian Ring, Poor Module, Ssi-ring, V-ring, W V-ring | |
| dc.subject | Modest Module | |
| dc.subject | Poor Module | |
| dc.subject | Ssi-ring | |
| dc.subject | Noetherian Ring | |
| dc.subject | V-ring | |
| dc.subject | W V-Ring | |
| dc.subject | Wv-ring | |
| dc.subject | Injective Module | |
| dc.title | On rings with one middle class of injectivity domains | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | Demirci, Yılmaz Mehmet/0000-0003-3802-4211 | |
| gdc.author.id | Alizade, Refail/0000-0003-4444-9136 | |
| gdc.author.scopusid | 36674901500 | |
| gdc.author.scopusid | 6701555358 | |
| gdc.author.scopusid | 37117995100 | |
| gdc.author.scopusid | 36661459200 | |
| gdc.author.wosid | Alizade, Refail/JRF-9055-2023 | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | ||
| 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 | |
| gdc.description.endpage | 126 | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.startpage | 109 | |
| gdc.description.volume | 27 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.wos | WOS:000794070000009 | |
| gdc.index.type | Scopus | |
| gdc.index.type | WoS | |
| gdc.scopus.citedcount | 2 | |
| gdc.wos.citedcount | 2 | |
| oaire.citation.endPage | 126 | |
| oaire.citation.startPage | 109 | |
| person.identifier.scopus-author-id | Alizade- Refail (6701555358), Demirci- Yılmaz Mehmet (36674901500), Türkmen- Burcu Nişanci (37117995100), Türkmen- Ergül (36661459200) | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 27 | |
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