- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 62 Issue: 1
- Some results in semiprime rings with derivation
Some results in semiprime rings with derivation
Authors : Emine Koç
Pages : 11-20
Doi:10.1501/Commua1_0000000682
View : 7 | Download : 3
Publication Date : 2013-02-01
Article Type : Research
Abstract :Let R be a semiprime ring and S be a nonempty subset of R: A mapping F from R to R is called centralizing on S if [F(x); x] 2 Z for all x 2 S. The mapping F is called strong commutativity preserving (SCP) on S if [F(x); F(y)] = [x; y] for all x; y 2 S: In the present paper, we investigate some relationships between centralizing derivations and SCP-derivations of semiprime rings. Also, we study centralizing properties derivation which acts homomorphism or anti-homomorphism in semiprime rinKeywords : Semiprime rings, derivations, centralizing mappings, scp maps