dc.contributor.author | Karabacak, F. | |
dc.date.accessioned | 2019-10-20T14:28:27Z | |
dc.date.available | 2019-10-20T14:28:27Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 1225-6951 | |
dc.identifier.uri | https://dx.doi.org/10.5666/KMJ.2009.49.3.557 | |
dc.identifier.uri | https://hdl.handle.net/11421/18142 | |
dc.description.abstract | A module M is said to be SIP-extending if the intersection of every pair of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending. While it is known that a direct sum of SIP-extending modules is not necessarily SIP-extending, the question about direct summands of an SIP-extending module to be SIP-extending remains open. In this study, we show that a direct summand of an SIP-extending module inherits this property under some conditions. Some related results are included about C11 and SIP-modules. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Kyungpook National University | en_US |
dc.relation.isversionof | 10.5666/KMJ.2009.49.3.557 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Extending Modules | en_US |
dc.subject | Sip-Extending Modules | en_US |
dc.subject | Summand Intersection Property | en_US |
dc.title | On generalizations of extending modules | en_US |
dc.type | article | en_US |
dc.relation.journal | Kyungpook Mathematical Journal | en_US |
dc.contributor.department | Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü | en_US |
dc.identifier.volume | 49 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 557 | en_US |
dc.identifier.endpage | 562 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |