dc.contributor.author | Talebi, Y. | |
dc.contributor.author | Hamzekolaee, A. R. M. | |
dc.contributor.author | Hosseinpour, M. | |
dc.contributor.author | Harmanci, A. | |
dc.contributor.author | Ungor, B. | |
dc.date.accessioned | 2021-06-14T06:59:56Z | |
dc.date.available | 2021-06-14T06:59:56Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1303-5010 | |
dc.identifier.uri | http://dx.doi.org/10.15672/HJMS.2018.586 | |
dc.identifier.uri | http://hdl.handle.net/11655/24910 | |
dc.description.abstract | Let R be a ring and M be an R-module. In this paper we investigate modules M such that every (simple) cosingular R-module is M-projective. We prove that every simple cosingular module is M-projective if and only if for N <= T <= M, whenever TAN is simple cosingular, then N is a direct summand of T. We show that every simple cosingular right R-module is projective if and only if R is a right GV-ring. It is also shown that for a right perfect ring R, every cosingular right R-module is projective if and only if R is a right GV-ring. In addition, we prove that if every delta-cosingular right R-module is semisimple, then (Z) over bar (M) is a direct summand of M for every right R-module M if and only if (Z) over bar (delta)(M) is a direct summand of M for every right R-module M. | |
dc.language.iso | en | |
dc.relation.isversionof | 10.15672/HJMS.2018.586 | |
dc.rights | Attribution 4.0 United States | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | cosingular module | |
dc.subject | delta-cosingular module | |
dc.subject | GV-ring | |
dc.subject | projective module | |
dc.title | Rings For Which Every Cosingular Module Is Projective | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.relation.journal | Hacettepe Journal Of Mathematics And Statistics | |
dc.contributor.department | Matematik ve Fen Bilimleri Eğitimi | |
dc.identifier.volume | 48 | |
dc.identifier.issue | 4 | |
dc.description.index | WoS | |
dc.description.index | Scopus | |