A Note on Derivations of Group Rings
- 1 December 1995
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 38 (4), 434-437
- https://doi.org/10.4153/cmb-1995-063-8
Abstract
LetRGdenote the group ring of a groupGover a semiprime ringR. We prove that, if the center ofGis of finite index and some natural restrictions hold, then everyR-derivation ofRGis inner. We also give an example of a groupGwhich is both locally finite and nilpotent and such that, for every fieldF, there exists anF-derivation ofFGwhich is not inner.Keywords
This publication has 1 reference indexed in Scilit:
- Noncommutative RingsPublished by American Mathematical Society (AMS) ,1994