Rings Whose Mininjective Modules Are Injective
| dc.contributor.author | Alagoz, Yusuf | |
| dc.contributor.author | Benli-Goral, Sinem | |
| dc.contributor.author | Buyukasik, Engin | |
| dc.contributor.author | Garcia Rozas, Juan Ramon | |
| dc.contributor.author | Oyonarte, Luis | |
| dc.date.accessioned | 2025-06-26T20:15:42Z | |
| dc.date.available | 2025-06-26T20:15:42Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | The main goal of this paper is to characterize rings over which the mininjective modules are injective, so that the classes of mininjective modules and injective modules coincide. We show that these rings are precisely those Noetherian rings for which every min-flat module is projective and we study this characterization in the cases when the ring is Kasch, commutative and when it is quasi-Frobenius. We also treat the case of nxn upper triangular matrix rings, proving that their mininjective modules are injective if and only if n=2. We use the developed machinery to find a new type of examples of indigent modules (those whose subinjectivity domain contains only the injective modules), whose existence is known, so far, only in some rather restricted situations. | en_US |
| dc.description.sponsorship | Spanish Ministerio de Ciencia e Innovacion through its Agencia Estatal de Investigacion [PID2020-113552GB-I00]; University of Almeria [340206-PROYECTO P-FORT-GRUPOS-2023/103] | en_US |
| dc.description.sponsorship | The authors J. R. Garcia Rozas and Luis Oyonarte were partially supported by a project from the Spanish Ministerio de Ciencia e Innovacion through its Agencia Estatal de Investigacion, REFERENCIA DEL PROYECTO/AEI/PID2020-113552GB-I00 and by the grant 340206-PROYECTO P-FORT-GRUPOS-2023/103 from the University of Almeria. | en_US |
| dc.identifier.doi | 10.1080/00927872.2025.2509829 | |
| dc.identifier.issn | 0092-7872 | |
| dc.identifier.issn | 1532-4125 | |
| dc.identifier.scopus | 2-s2.0-105007749730 | |
| dc.identifier.uri | https://doi.org/10.1080/00927872.2025.2509829 | |
| dc.identifier.uri | https://hdl.handle.net/11147/15659 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis inc | en_US |
| dc.relation.ispartof | Communications in Algebra | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Almost Injective Modules | en_US |
| dc.subject | (Min) Injective Modules | en_US |
| dc.subject | Quasi V-Rings | en_US |
| dc.subject | Quasi-Frobenius Rings | en_US |
| dc.subject | Strongly Min-Coherent Rings | en_US |
| dc.title | Rings Whose Mininjective Modules Are Injective | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
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| gdc.description.department | İzmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Alagoz, Yusuf] Hatay Mustafa Kemal Univ, Dept Math, Antakya, Turkiye; [Benli-Goral, Sinem; Buyukasik, Engin] Izmir Inst Technol, Dept Math, Izmir, Turkiye; [Garcia Rozas, Juan Ramon; Oyonarte, Luis] Almeria Univ, Dept Math, Almeria, Spain | en_US |
| gdc.description.endpage | 13 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1 | |
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| gdc.oaire.keywords | Rings and Algebras (math.RA) | |
| gdc.oaire.keywords | 16D10, 16D50, 16E30 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mathematics - Rings and Algebras | |
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