Araştırma Makalesi
Yıl 2018,
Cilt: 2 Sayı: 3, 61 - 74, 31.07.2018
Öz
In this study, we investigate commutavity of prime ring R with generalized reverse derivations F and G. Also, we proved that if L is a square closed Lie ideal, then L is contained in center Z (R) under given conditions in theorems.
Anahtar Kelimeler
Prime ring Lie ideal Reverse derivation Generalized reverse derivation
Kaynakça
- References [1] ABUABAKAR A., GONZALEZ S.,2015 Generalized Reverse Derivations on Semiprime Rings, Siberian Math. Journal,56(2),199-205. [2] AL-OMARY R. M., REHMAN N., 2016 Lie Ideals and Centralizeing Mappings with Generalized Derivations, Journal of Scientific Research and Reports, 11(3), 1-8. [3] BRESAR M., 1991, On the Distance of the Composition of Two Derivations to the Generalized Derivations, Glaskow Math. J., 33, 89-93. [4] BRESAR M., VUKMAN J., 1989, On some Additive Mappings in Rings with Involution, Aequation Math., 38, 178-185. [5] POSNER E., 1957, Derivations in Prime Rings, Proc. Amer. Marh. Soc., 8, 1093-1100. [6] REHMAN N., 2002, On commutativity of Rings with Generalized Derivations, Math. J. Okayama Univ., 44, 43-49. [7] REHMAN N, HANGAN, M. and AL-OMARY R. M., 2014, Centralizing Mappings, Morita Context and Generalized (α,β)−derivations, J. Taibah Univ. Sci., 8(4), 370-374.
Yıl 2018,
Cilt: 2 Sayı: 3, 61 - 74, 31.07.2018
Öz
Kaynakça
- References [1] ABUABAKAR A., GONZALEZ S.,2015 Generalized Reverse Derivations on Semiprime Rings, Siberian Math. Journal,56(2),199-205. [2] AL-OMARY R. M., REHMAN N., 2016 Lie Ideals and Centralizeing Mappings with Generalized Derivations, Journal of Scientific Research and Reports, 11(3), 1-8. [3] BRESAR M., 1991, On the Distance of the Composition of Two Derivations to the Generalized Derivations, Glaskow Math. J., 33, 89-93. [4] BRESAR M., VUKMAN J., 1989, On some Additive Mappings in Rings with Involution, Aequation Math., 38, 178-185. [5] POSNER E., 1957, Derivations in Prime Rings, Proc. Amer. Marh. Soc., 8, 1093-1100. [6] REHMAN N., 2002, On commutativity of Rings with Generalized Derivations, Math. J. Okayama Univ., 44, 43-49. [7] REHMAN N, HANGAN, M. and AL-OMARY R. M., 2014, Centralizing Mappings, Morita Context and Generalized (α,β)−derivations, J. Taibah Univ. Sci., 8(4), 370-374.
Toplam 1 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Basic Sciences and Engineering |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Temmuz 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 2 Sayı: 3 |
