On Rings whose Quasi Projective Modules Are Projective or Semisimple
| dc.contributor.author | Ertaş, Nil Orhan | |
| dc.contributor.author | Acar, Ummahan | |
| dc.date.accessioned | 2022-08-05T06:28:51Z | |
| dc.date.available | 2022-08-05T06:28:51Z | |
| dc.date.issued | 2021 | en_US |
| dc.department | BTÜ, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | For two modules M and N, P-M(N) stands for the largest submodule of N relative to which M is projective. For any module M, P-M(N) defines a left exact preradical. It is given some properties of P-M(N). We express P-M(N) as a trace submodule. In this paper, we study rings with no quasi-projective modules other than semisimples and projectives, that is, rings whose quasi-projectives are either projective or semisimple (namely QPS-ring). Semi-Artinian rings and rings with no right p-middle class are characterized by using this functor: a ring R right semi-Artinian if and only if for any right R -module M, P-M(M) <=(e) M. | en_US |
| dc.identifier.doi | 10.26713/cma.v12i2.1490 | en_US |
| dc.identifier.endpage | 302 | en_US |
| dc.identifier.issn | 0976-5905 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 295 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12885/2016 | |
| dc.identifier.volume | 12 | en_US |
| dc.identifier.wosquality | N/A | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.institutionauthor | Ertaş, Nil Orhan | |
| dc.language.iso | en | en_US |
| dc.publisher | RGN Publication | en_US |
| dc.relation.ispartof | COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Projective module | en_US |
| dc.subject | p-poor module | en_US |
| dc.subject | Projectivity domain | en_US |
| dc.subject | Semi-Artininan ring | en_US |
| dc.title | On Rings whose Quasi Projective Modules Are Projective or Semisimple | en_US |
| dc.type | Article | en_US |
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