Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6176
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dc.contributor.authorAlagöz, Yusuf-
dc.contributor.authorDurğun, Yılmaz-
dc.date.accessioned2017-08-24T07:51:40Z-
dc.date.available2017-08-24T07:51:40Z-
dc.date.issued2016-08-
dc.identifier.citationAlagöz, Y., and Durğun, Y. (2016). Strongly noncosingular modules. Bulletin of the Iranian Mathematical Society, 42(4), 999-1013.en_US
dc.identifier.issn1735-8515-
dc.identifier.issn1017-060X-
dc.identifier.issn1018-6301-
dc.identifier.urihttp://hdl.handle.net/11147/6176-
dc.description.abstractAn R-module M is called strongly noncosingular if it has no nonzero Rad-small (cosingular) homomorphic image in the sense of Harada. It is proven that (1) an R-module M is strongly noncosingular if and only if M is coatomic and noncosingular; (2) a right perfect ring R is Artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingular R-modules; (3) absolutely coneat modules are strongly noncosingular if and only if R is a right max ring and injective modules are strongly noncosingular; (4) a commutative ring R is semisimple if and only if the class of injective modules coincides with the class of strongly noncosingular R-modules.en_US
dc.language.isoenen_US
dc.publisherIranian Mathematical Societyen_US
dc.relation.ispartofBulletin of the Iranian Mathematical Societyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectR-modulesen_US
dc.subjectRingsen_US
dc.subjectCoatomic modulesen_US
dc.subjectCoclosed submodulesen_US
dc.subjectModules (Algebra)en_US
dc.titleStrongly noncosingular modulesen_US
dc.typeArticleen_US
dc.institutionauthorAlagöz, Yusuf-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume42en_US
dc.identifier.issue4en_US
dc.identifier.startpage999en_US
dc.identifier.endpage1013en_US
dc.identifier.wosWOS:000384818700019en_US
dc.identifier.scopus2-s2.0-84983288528en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
local.message.claim2022-09-05T11:59:34.694+0300*
local.message.claim|rp01503*
local.message.claim|submit_approve*
local.message.claim|dc_contributor_author*
local.message.claim|None*
dc.identifier.wosqualityN/A-
dc.identifier.scopusqualityQ2-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
crisitem.author.dept01. Izmir Institute of Technology-
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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