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https://hdl.handle.net/11147/12248
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Alagöz, Yusuf | en_US |
dc.contributor.author | Benli Göral, Sinem | en_US |
dc.contributor.author | Büyükaşık, Engin | en_US |
dc.date.accessioned | 2022-08-03T08:27:46Z | - |
dc.date.available | 2022-08-03T08:27:46Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | https://doi.org/10.1142/S0219498823501384 | - |
dc.identifier.uri | https://hdl.handle.net/11147/12248 | - |
dc.description.abstract | For a right module M, we prove that M is simple-injective if and only if M is min-N-injective for every cyclic right module N. The rings whose simple-injective right modules are injective are exactly the right Artinian rings. A right Noetherian ring is right Artinian if and only if every cyclic simple-injective right module is injective. The ring is QF if and only if simple-injective right modules are projective. For a commutative Noetherian ring R, we prove that every finitely generated simple-injective R-module is projective if and only if R = A × B, where A is QF and B is hereditary. An abelian group is simple-injective if and only if its torsion part is injective. We show that the notions of simple-injective, strongly simple-injective, soc-injective and strongly soc-injective coincide over the ring of integers. | en_US |
dc.language.iso | en | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.relation.ispartof | Journal of Algebra and its Applications | en_US |
dc.rights | info:eu-repo/semantics/embargoedAccess | en_US |
dc.subject | Injective modules | en_US |
dc.subject | Artinian rings | en_US |
dc.subject | Modules (Algebra) | en_US |
dc.title | On simple-injective modules | en_US |
dc.type | Article | en_US |
dc.authorid | 0000-0003-2402-3496 | en_US |
dc.institutionauthor | Benli Göral, Sinem | en_US |
dc.institutionauthor | Büyükaşık, Engin | en_US |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.wos | WOS:000849402000003 | en_US |
dc.identifier.scopus | 2-s2.0-85129012004 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1142/S0219498823501384 | - |
dc.contributor.affiliation | Siirt Üniversitesi | en_US |
dc.contributor.affiliation | 01. Izmir Institute of Technology | en_US |
dc.contributor.affiliation | 01. Izmir Institute of Technology | en_US |
dc.relation.issn | 0219-4988 | en_US |
local.message.claim | 2022-09-05T11:59:21.813+0300|||rp01503|||submit_approve|||dc_contributor_author|||None | * |
dc.identifier.scopusquality | Q2 | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 01. Izmir Institute of Technology | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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