Abstract
In this note we investigate some properties of a-derivations on prime and semiprime rings. We establish some identities for a commuting a-derivation d on a semiprime ring R and show that d maps R into its center and obtain some well-known results as a consequence. We also generalize Posner's theorem on the composition of derivations for a-derivations and as an application resolve a functional equation of automorphisms on certain prime rings.
| Original language | English |
|---|---|
| Pages (from-to) | 783-788 |
| Number of pages | 6 |
| Journal | Demonstratio Mathematica |
| Volume | 34 |
| Issue number | 4 |
| State | Published - Oct 2001 |
Bibliographical note
Publisher Copyright:© 2001 Warsaw University. All rights reserved.
Keywords
- A-derivation
- Automorphism
- Centralizing map
- Commuting map
- Derivation
- Prime ring
- Semiprime ring.
- Skew derivation
ASJC Scopus subject areas
- General Mathematics