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https://hdl.handle.net/11499/46774
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Tercan, Adnan | - |
dc.contributor.author | Yasar, Ramazan | - |
dc.contributor.author | Yucel, Canan Celep | - |
dc.date.accessioned | 2023-01-09T21:16:05Z | - |
dc.date.available | 2023-01-09T21:16:05Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://doi.org/10.4134/BKMS.b210349 | - |
dc.identifier.uri | https://hdl.handle.net/11499/46774 | - |
dc.description.abstract | In 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.iso | en | en_US |
dc.publisher | Korean Mathematical Soc | en_US |
dc.relation.ispartof | Bulletin Of The Korean Mathematical Society | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Complement | en_US |
dc.subject | extending module | en_US |
dc.subject | z-closed | en_US |
dc.subject | CLS-module | en_US |
dc.subject | Goldie extending module | en_US |
dc.subject | rational Hull | en_US |
dc.subject | Modules | en_US |
dc.subject | Hulls | en_US |
dc.subject | Ring | en_US |
dc.title | GOLDIE EXTENDING PROPERTY ON THE CLASS OF z-CLOSED SUBMODULES | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 59 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.startpage | 453 | en_US |
dc.identifier.endpage | 468 | en_US |
dc.identifier.doi | 10.4134/BKMS.b210349 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 35303745700 | - |
dc.authorscopusid | 57193424920 | - |
dc.authorscopusid | 35303670200 | - |
dc.identifier.scopus | 2-s2.0-85128845118 | en_US |
dc.identifier.wos | WOS:000804366300014 | en_US |
dc.identifier.scopusquality | Q3 | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
crisitem.author.dept | 17.04. 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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