On rings with one middle class of injectivity domains
| dc.contributor.author | Rafail Alizade | |
| dc.contributor.author | Yilmaz Mehmet Demirci | |
| dc.contributor.author | Burcu Nisanci Turkmen | |
| dc.contributor.author | Ergul Turkmen | |
| dc.date.accessioned | 2025-10-06T16:21:53Z | |
| 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. | |
| dc.identifier.issn | 1331-0623 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/7114 | |
| dc.language.iso | English | |
| dc.publisher | UNIV OSIJEK DEPT MATHEMATICS | |
| dc.source | MATHEMATICAL COMMUNICATIONS | |
| dc.subject | injective module, poor module, modest module, SSI-ring, V-ring, WV-ring, Noetherian ring | |
| dc.subject | POOR MODULES | |
| dc.title | On rings with one middle class of injectivity domains | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.coar.type | text::journal::journal article | |
| gdc.index.type | WoS | |
| oaire.citation.endPage | 126 | |
| oaire.citation.startPage | 109 | |
| person.identifier.orcid | Alizade- Refail/0000-0003-4444-9136, Demirci- Yilmaz Mehmet/0000-0003-3802-4211, | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 27 | |
| relation.isOrgUnitOfPublication | ac5ddece-c76d-476d-ab30-e4d3029dee37 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | ac5ddece-c76d-476d-ab30-e4d3029dee37 |