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https://hdl.handle.net/11499/37593
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yücel, Canan Celep | - |
dc.date.accessioned | 2021-02-02T12:21:02Z | - |
dc.date.available | 2021-02-02T12:21:02Z | - |
dc.date.issued | 2020 | - |
dc.identifier.issn | 1225-6951 | - |
dc.identifier.uri | https://hdl.handle.net/11499/37593 | - |
dc.identifier.uri | https://doi.org/10.5666/KMJ.2020.60.1.45 | - |
dc.description.abstract | A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. In this work, we define a module M to be generalized FI-extending (GFI-extending) if for any fully invariant submodule N of M, there exists a direct summand D of M such that N <= D and that D/N is singular. The classes of FI-extending modules and singular modules are properly contained in the class of GFI-extending modules. We first develop basic properties of this newly defined class of modules in the general module setting. Then, the GFI-extending property is shown to carry over to matrix rings. Finally, we show that the class of GFI-extending modules is closed under direct sums but not under direct summands. However, it is proved that direct summands are GFI-extending under certain restrictions. | en_US |
dc.language.iso | en | en_US |
dc.publisher | KYUNGPOOK NATL UNIV, DEPT MATHEMATICS | en_US |
dc.relation.ispartof | KYUNGPOOK MATHEMATICAL JOURNAL | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | fully invariant submodule; FI-extending; GFI-extending | en_US |
dc.title | On Generalized FI-extending Modules | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 60 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 45 | - |
dc.identifier.startpage | 45 | en_US |
dc.identifier.endpage | 51 | en_US |
dc.authorid | 0000-0002-8164-1699 | - |
dc.identifier.doi | 10.5666/KMJ.2020.60.1.45 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopus | 2-s2.0-85085923104 | en_US |
dc.identifier.wos | WOS:000533595500003 | en_US |
dc.identifier.scopusquality | Q3 | - |
dc.owner | Pamukkale University | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
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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