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dc.contributor.authorKeskin Tütüncü, Derya
dc.contributor.authorToksoy, Sultan Eylem
dc.date.accessioned2017-04-11T07:59:43Z
dc.date.available2017-04-11T07:59:43Z
dc.date.issued2013
dc.identifier.citationKeskin Tütüncü, D., and Toksoy, S. E. (2013). Absolute co-supplement and absolute co-coclosed modules. Hacettepe Journal of Mathematics and Statistics, 42(1), 67-79.en_US
dc.identifier.issn1303-5010
dc.identifier.urihttp://hdl.handle.net/11147/5282
dc.description.abstractA module M is called an absolute co-coclosed (absolute co-supplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute co-coclosed (absolute co-supplement) are precisely determined. We also investigate the rings whose (finitely generated) absolute co-supplement modules are projective. We show that a commutative domain R is a Dedekind domain if and only if every submodule of an absolute co-supplement R-module is absolute co-supplement. We also prove that the class Coclosed of all short exact sequences 0→A→B→C→0 such that A is a coclosed submodule of B is a proper class and every extension of an absolute co-coclosed module by an absolute co-coclosed module is absolute co-coclosed.en_US
dc.description.sponsorshipScientific and Technical Research Council of Turkeyen_US
dc.language.isoengen_US
dc.publisherHacettepe Üniversitesien_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSupplement submoduleen_US
dc.subjectAbsolute co-supplement moduleen_US
dc.subjectGeneral module theoryen_US
dc.titleAbsolute co-supplement and absolute co-coclosed modulesen_US
dc.typearticleen_US
dc.contributor.iztechauthorToksoy, Sultan Eylem
dc.relation.journalHacettepe Journal of Mathematics and Statisticsen_US
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume42en_US
dc.identifier.issue1en_US
dc.identifier.startpage67en_US
dc.identifier.endpage79en_US
dc.identifier.wosWOS:000318826800008
dc.identifier.scopusSCOPUS:2-s2.0-84879768400
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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