Abstract
We show that if α and β are centralizing automorphisms and d a centralizing (α, β)-derivation of a semiprime ring R, then d is commuting. Some results on a-derivations and centralizing derivations of semiprime rings follow as applications of this result.
| Original language | English |
|---|---|
| Pages (from-to) | 283-287 |
| Number of pages | 5 |
| Journal | Demonstratio Mathematica |
| Volume | 36 |
| Issue number | 2 |
| State | Published - Apr 2003 |
Bibliographical note
Publisher Copyright:© 2003 Demonstratio Mathematica. All rights reserved.
Keywords
- (α
- Automorphism
- Centralizing map
- Commuting map
- Derivation
- Prime ring
- Semiprime ring
- α-derivation
- β)-derivation
ASJC Scopus subject areas
- General Mathematics