Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6760
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dc.contributor.authorAlizade, Rafail-
dc.contributor.authorGüngör, Serpil-
dc.date.accessioned2018-01-26T13:10:41Z-
dc.date.available2018-01-26T13:10:41Z-
dc.date.issued2017-12-
dc.identifier.citationAlizade, R., and Güngör, S. (2017). Co-coatomically supplemented modules. Ukrainian Mathematical Journal, 69(7), 1007-1018. doi:10.1007/s11253-017-1411-xen_US
dc.identifier.issn0041-5995-
dc.identifier.urihttp://doi.org/10.1007/s11253-017-1411-x-
dc.identifier.urihttp://hdl.handle.net/11147/6760-
dc.description.abstractIt is shown that if a submodule N of M is co-coatomically supplemented and M/N has no maximal submodule, then M is a co-coatomically supplemented module. If a module M is co-coatomically supplemented, then every finitely M-generated module is a co-coatomically supplemented module. Every left R-module is co-coatomically supplemented if and only if the ring R is left perfect. Over a discrete valuation ring, a module M is co-coatomically supplemented if and only if the basic submodule of M is coatomic. Over a nonlocal Dedekind domain, if the torsion part T(M) of a reduced module M has a weak supplement in M, then M is co-coatomically supplemented if and only if M/T (M) is divisible and TP (M) is bounded for each maximal ideal P. Over a nonlocal Dedekind domain, if a reduced module M is co-coatomically amply supplemented, then M/T (M) is divisible and TP (M) is bounded for each maximal ideal P. Conversely, if M/T (M) is divisible and TP (M) is bounded for each maximal ideal P, then M is a co-coatomically supplemented module.en_US
dc.language.isoenen_US
dc.publisherSpringer Verlagen_US
dc.relation.ispartofUkrainian Mathematical Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectModules (Algebra)en_US
dc.subjectDedekind domainen_US
dc.subjectSupplement submoduleen_US
dc.titleCo-coatomically supplemented modulesen_US
dc.typeArticleen_US
dc.institutionauthorGüngör, Serpil-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume69en_US
dc.identifier.issue7en_US
dc.identifier.startpage1007en_US
dc.identifier.endpage1018en_US
dc.identifier.wosWOS:000417086900001en_US
dc.identifier.scopus2-s2.0-85035340212en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/s11253-017-1411-x-
dc.relation.doi10.1007/s11253-017-1411-xen_US
dc.coverage.doi10.1007/s11253-017-1411-xen_US
local.message.claim2022-06-06T16:26:02.031+0300*
local.message.claim|rp00850*
local.message.claim|submit_approve*
local.message.claim|dc_contributor_author*
local.message.claim|None*
dc.identifier.wosqualityQ4-
dc.identifier.scopusqualityN/A-
item.grantfulltextopen-
item.openairetypeArticle-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.dept04.02. 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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