Publication: π-endo Baer modules
dc.contributor.author | Birkenmeier, Gary F. | |
dc.contributor.author | Kara, Yeliz | |
dc.contributor.author | Tercan, Adnan | |
dc.contributor.buuauthor | KARA ŞEN, YELİZ | |
dc.contributor.department | Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. | |
dc.contributor.orcid | 0000-0002-8001-6082 | |
dc.contributor.researcherid | AAG-8304-2021 | |
dc.date.accessioned | 2024-07-29T08:47:44Z | |
dc.date.available | 2024-07-29T08:47:44Z | |
dc.date.issued | 2020-03-03 | |
dc.description.abstract | Let 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.doi | 10.1080/00927872.2019.1677690 | |
dc.identifier.endpage | 1149 | |
dc.identifier.issn | 0092-7872 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 1132 | |
dc.identifier.uri | https://doi.org/10.1080/00927872.2019.1677690 | |
dc.identifier.uri | https://www.tandfonline.com/doi/full/10.1080/00927872.2019.1677690 | |
dc.identifier.uri | https://hdl.handle.net/11452/43509 | |
dc.identifier.volume | 48 | |
dc.identifier.wos | 000494227800001 | |
dc.indexed.wos | WOS.SCI | |
dc.language.iso | en | |
dc.publisher | Taylor & Francis | |
dc.relation.journal | Communications in Algebra | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi | |
dc.relation.tubitak | BIDEB-2219 | |
dc.rights | info:eu-repo/semantics/closedAccess | |
dc.subject | Direct sums | |
dc.subject | Invariant | |
dc.subject | Submodules | |
dc.subject | Rings | |
dc.subject | Baer module | |
dc.subject | Endomorphism rings | |
dc.subject | Projection invariant submodule | |
dc.subject | Quasi-baer module | |
dc.subject | Pi-extending module | |
dc.subject | Pi-e.Baer module | |
dc.subject | Mathematics | |
dc.title | π-endo Baer modules | |
dc.type | Article | |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 | |
relation.isAuthorOfPublication.latestForDiscovery | cefc08b2-e6fe-4b0b-846e-f8d1b36b7066 |