Article contents
A Note on Derivations of Group Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
Let RG denote the group ring of a group G over a semiprime ring R. We prove that, if the center of G is of finite index and some natural restrictions hold, then every R-derivation of RG is inner. We also give an example of a group G which is both locally finite and nilpotent and such that, for every field F, there exists an F-derivation of FG which is not inner.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1995
References
- 6
- Cited by