Publication:
The π-extending property via singular quotient submodules

dc.contributor.authorTercan, Adnan
dc.contributor.buuauthorKARA ŞEN, YELİZ
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.
dc.contributor.orcid0000-0002-8001-6082
dc.contributor.researcheridAAG-8304-2021
dc.date.accessioned2024-11-06T12:16:59Z
dc.date.available2024-11-06T12:16:59Z
dc.date.issued2019-09-01
dc.description.abstractA 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.doi10.5666/KMJ.2019.59.3.391
dc.identifier.endpage401
dc.identifier.issn1225-6951
dc.identifier.issue3
dc.identifier.startpage391
dc.identifier.urihttps://doi.org/10.5666/KMJ.2019.59.3.391
dc.identifier.urihttps://hdl.handle.net/11452/47499
dc.identifier.volume59
dc.identifier.wos000489106300003
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherKyungpook Natl Univ, Dept Mathematics
dc.relation.journalKyungpook Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectModules
dc.subjectExtending modules
dc.subjectPi-extending module
dc.subjectProjection invariant
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleThe π-extending property via singular quotient submodules
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationcefc08b2-e6fe-4b0b-846e-f8d1b36b7066
relation.isAuthorOfPublication.latestForDiscoverycefc08b2-e6fe-4b0b-846e-f8d1b36b7066

Files

Collections