Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/46774
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dc.contributor.authorTercan, Adnan-
dc.contributor.authorYasar, Ramazan-
dc.contributor.authorYucel, Canan Celep-
dc.date.accessioned2023-01-09T21:16:05Z-
dc.date.available2023-01-09T21:16:05Z-
dc.date.issued2022-
dc.identifier.issn1015-8634-
dc.identifier.urihttps://doi.org/10.4134/BKMS.b210349-
dc.identifier.urihttps://hdl.handle.net/11499/46774-
dc.description.abstractIn this article, we define a module M to be G(z)-extending if and only if for each z-closed submodule X of M there exists a direct summand D of M such that X boolean AND D is essential in both X and D. We investigate structural properties of G(z)-extending modules and locate the implications between the other extending properties. We deal with decomposition theory as well as ring and module extensions for G(z-)extending modules. We obtain that if a ring is right G(z)-extending, then so is its essential overring. Also it is shown that the G(z)-extending property is inherited by its rational hull. Furthermore it is provided some applications including matrix rings over a right G(z)-extending ring.en_US
dc.language.isoenen_US
dc.publisherKorean Mathematical Socen_US
dc.relation.ispartofBulletin Of The Korean Mathematical Societyen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectComplementen_US
dc.subjectextending moduleen_US
dc.subjectz-closeden_US
dc.subjectCLS-moduleen_US
dc.subjectGoldie extending moduleen_US
dc.subjectrational Hullen_US
dc.subjectModulesen_US
dc.subjectHullsen_US
dc.subjectRingen_US
dc.titleGOLDIE EXTENDING PROPERTY ON THE CLASS OF z-CLOSED SUBMODULESen_US
dc.typeArticleen_US
dc.identifier.volume59en_US
dc.identifier.issue2en_US
dc.identifier.startpage453en_US
dc.identifier.endpage468en_US
dc.identifier.doi10.4134/BKMS.b210349-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorscopusid35303745700-
dc.authorscopusid57193424920-
dc.authorscopusid35303670200-
dc.identifier.scopus2-s2.0-85128845118en_US
dc.identifier.wosWOS:000804366300014en_US
dc.identifier.scopusqualityQ3-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.grantfulltextnone-
item.openairetypeArticle-
crisitem.author.dept17.04. Mathematics-
Appears in Collections:Fen-Edebiyat Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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