Publication: The π-extending property via singular quotient submodules
dc.contributor.author | Tercan, Adnan | |
dc.contributor.buuauthor | KARA ŞEN, YELİZ | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı. | |
dc.contributor.orcid | 0000-0002-8001-6082 | |
dc.contributor.researcherid | AAG-8304-2021 | |
dc.date.accessioned | 2024-11-06T12:16:59Z | |
dc.date.available | 2024-11-06T12:16:59Z | |
dc.date.issued | 2019-09-01 | |
dc.description.abstract | A module is said to be pi-extending provided that every projection invariant submodule is essential in a direct summand of the module. In this article, we focus on the class of modules having the pi-extending property by looking at the singularity of quotient submodules. By doing so, we provide counterexamples, using hypersurfaces in projective spaces over complex numbers, to show that being generalized pi-extending is not inherited by direct summands. Moreover, it is shown that the direct sums of generalized pi-extending modules are generalized pi-extending. | |
dc.identifier.doi | 10.5666/KMJ.2019.59.3.391 | |
dc.identifier.endpage | 401 | |
dc.identifier.issn | 1225-6951 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 391 | |
dc.identifier.uri | https://doi.org/10.5666/KMJ.2019.59.3.391 | |
dc.identifier.uri | https://hdl.handle.net/11452/47499 | |
dc.identifier.volume | 59 | |
dc.identifier.wos | 000489106300003 | |
dc.indexed.wos | WOS.ESCI | |
dc.language.iso | en | |
dc.publisher | Kyungpook Natl Univ, Dept Mathematics | |
dc.relation.journal | Kyungpook Mathematical Journal | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Modules | |
dc.subject | Extending modules | |
dc.subject | Pi-extending module | |
dc.subject | Projection invariant | |
dc.subject | Science & technology | |
dc.subject | Physical sciences | |
dc.subject | Mathematics | |
dc.title | The π-extending property via singular quotient submodules | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 | |
relation.isAuthorOfPublication.latestForDiscovery | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 |