Derivations of group rings
- 1 January 2020
- journal article
- research article
- Published by Springer Science and Business Media LLC in Acta Scientiarum Mathematicarum
- Vol. 86 (12), 51-72
- https://doi.org/10.14232/actasm-019-664-x
Abstract
Let R[G] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible in R. If R is finite and G is a Chernikov (torsion FC-) group, then each R-derivation of R[G] is inner. Similar results also are obtained for other classes of groups G and rings R.Keywords
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