| dc.contributor.author | Köse, Handan | |
| dc.contributor.author | Ungor, Burcu | |
| dc.contributor.author | Harmancı, Abdullah | |
| dc.date.accessioned | 12.07.201910:49:13 | |
| dc.date.accessioned | 2019-07-11T21:57:32Z | |
| dc.date.available | 12.07.201910:49:13 | |
| dc.date.available | 2019-07-11T21:57:32Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.uri | https://app.trdizin.gov.tr/makale/TWpBNU5qa3dNQT09 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/917 | |
| dc.description.abstract | In this paper, we deal with a new approach to re*exive propertyfor rings by using nilpotent elements, in this direction we introduce nil-re*exiverings. It is shown that the notion of nil-re*exivity is a generalization of thatof nil-semicommutativity. Examples are given to show that nil-re*exive ringsneed not be re*exive and vice versa, and nil-re*exive rings but not semicommutative are presented. We also proved that every ring with identity is weaklyre*exive de...ned by Zhao, Zhu and Gu. Moreover, we investigate basic properties of nil-re*exive rings and provide some source of examples for this classof rings. We consider some extensions of nil-re*exive rings, such as trivialextensions, polynomial extensions and Nagata extensions. | en_US |
| dc.description.abstract | In this paper, we deal with a new approach to re*exive propertyfor rings by using nilpotent elements, in this direction we introduce nil-re*exiverings. It is shown that the notion of nil-re*exivity is a generalization of thatof nil-semicommutativity. Examples are given to show that nil-re*exive ringsneed not be re*exive and vice versa, and nil-re*exive rings but not semicommutative are presented. We also proved that every ring with identity is weaklyre*exive de...ned by Zhao, Zhu and Gu. Moreover, we investigate basic properties of nil-re*exive rings and provide some source of examples for this classof rings. We consider some extensions of nil-re*exive rings, such as trivialextensions, polynomial extensions and Nagata extensions. | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | İstatistik ve Olasılık | en_US |
| dc.subject | Matematik | en_US |
| dc.title | Nil-Reflexive Rings | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Communications Series A1: Mathematics and Statistics | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi | en_US |
| dc.identifier.volume | 65 | en_US |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.startpage | 19 | en_US |
| dc.identifier.endpage | 33 | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |
