| Yazarlar (3) |
Handan Köse
Ahi Evran Üniversitesi, Türkiye |
|
Burcu Üngör
Ankara Üniversitesi, Türkiye |
|
Abdullah Harmancı
|
| Özet |
| 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. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale |
| Dergi Adı | Commun. Fac.Sci. Univ. Ank. Series A1 |
| Dergi Tarandığı Indeksler | Mathematical Reviews |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2016 |
| Cilt No | 65 |
| Sayı | 1 |
| Sayfalar | 19 / 33 |
| Doi Numarası | 10.1501/Commua1_0000000741 |
