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DC Field | Value | Language |
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dc.contributor.author | Büyükaşık, Engin | - |
dc.contributor.author | Demir, Özlem | - |
dc.contributor.author | Diril, Müge | - |
dc.date.accessioned | 2021-01-24T18:33:05Z | - |
dc.date.available | 2021-01-24T18:33:05Z | - |
dc.date.issued | 2021 | - |
dc.identifier.issn | 0092-7872 | - |
dc.identifier.uri | https://doi.org/10.1080/00927872.2020.1821207 | - |
dc.identifier.uri | https://hdl.handle.net/11147/10224 | - |
dc.description.abstract | Recently, in a series of papers “simple” versions of direct-injective and direct-projective modules have been investigated. These modules are termed as “simple-direct-injective” and “simple-direct-projective,” respectively. In this paper, we give a complete characterization of the aforementioned modules over the ring of integers and over semilocal rings. The ring is semilocal if and only if every right module with zero Jacobson radical is simple-direct-projective. The rings whose simple-direct-injective right modules are simple-direct-projective are fully characterized. These are exactly the left perfect right H-rings. The rings whose simple-direct-projective right modules are simple-direct-injective are right max-rings. For a commutative Noetherian ring, we prove that simple-direct-projective modules are simple-direct-injective if and only if simple-direct-injective modules are simple-direct-projective if and only if the ring is Artinian. Various closure properties and some classes of modules that are simple-direct-injective (resp. projective) are given. © 2020 Taylor & Francis Group, LLC. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor and Francis Ltd. | en_US |
dc.relation.ispartof | Communications in Algebra | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Artinian rings | en_US |
dc.subject | H-rings | en_US |
dc.subject | Perfect rings | en_US |
dc.subject | Torsion submodule | en_US |
dc.title | On simple-direct modules | en_US |
dc.type | Article | en_US |
dc.institutionauthor | Büyükaşık, Engin | - |
dc.institutionauthor | Demir, Özlem | - |
dc.institutionauthor | Diril, Müge | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.wos | WOS:000613883400001 | en_US |
dc.identifier.scopus | 2-s2.0-85096543843 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1080/00927872.2020.1821207 | - |
dc.relation.doi | 10.1080/00927872.2020.1821207 | en_US |
dc.coverage.doi | 10.1080/00927872.2020.1821207 | en_US |
dc.identifier.wosquality | Q3 | - |
dc.identifier.scopusquality | Q2 | - |
item.fulltext | With Fulltext | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
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 |
Files in This Item:
File | Size | Format | |
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00927872.2020.pdf | 1.32 MB | Adobe PDF | View/Open |
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