Publication:
π-endo Baer modules

dc.contributor.authorBirkenmeier, Gary F.
dc.contributor.authorKara, Yeliz
dc.contributor.authorTercan, Adnan
dc.contributor.buuauthorKARA ŞEN, YELİZ
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
dc.contributor.orcid0000-0002-8001-6082
dc.contributor.researcheridAAG-8304-2021
dc.date.accessioned2024-07-29T08:47:44Z
dc.date.available2024-07-29T08:47:44Z
dc.date.issued2020-03-03
dc.description.abstractLet N be a submodule of a right R-module M-R, and Then N is said to be projection invariant in M, denoted by if for all We call M-R ?-endo Baer, denoted ?-e.Baer, if for each there exists such that where denotes the left annihilator of N in H. We show that this class of modules lies strictly between the classes of Baer and quasi-Baer modules introduced in 2004 by Rizvi and Roman. Several structural properties are developed. In contrast to the Baer modules of Rizvi and Roman, the free modules of a Baer ring are ?-e.Baer. Moreover, (co-) nonsingularity conditions are introduced which enable us to extend the Chatters-Khuri result (connecting the extending and Baer conditions in a ring) to modules. We provide examples to illustrate and delimit our results.
dc.identifier.doi10.1080/00927872.2019.1677690
dc.identifier.endpage1149
dc.identifier.issn0092-7872
dc.identifier.issue3
dc.identifier.startpage1132
dc.identifier.urihttps://doi.org/10.1080/00927872.2019.1677690
dc.identifier.urihttps://www.tandfonline.com/doi/full/10.1080/00927872.2019.1677690
dc.identifier.urihttps://hdl.handle.net/11452/43509
dc.identifier.volume48
dc.identifier.wos000494227800001
dc.indexed.wosWOS.SCI
dc.language.isoen
dc.publisherTaylor & Francis
dc.relation.journalCommunications in Algebra
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.relation.tubitakBIDEB-2219
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDirect sums
dc.subjectInvariant
dc.subjectSubmodules
dc.subjectRings
dc.subjectBaer module
dc.subjectEndomorphism rings
dc.subjectProjection invariant submodule
dc.subjectQuasi-baer module
dc.subjectPi-extending module
dc.subjectPi-e.Baer module
dc.subjectMathematics
dc.titleπ-endo Baer modules
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicationcefc08b2-e6fe-4b0b-846e-f8d1b36b7066
relation.isAuthorOfPublication.latestForDiscoverycefc08b2-e6fe-4b0b-846e-f8d1b36b7066

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