Derivations of group rings
Rings and Algebras
2020-10-14 v1
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.
Cite
@article{arxiv.2003.01346,
title = {Derivations of group rings},
author = {Orest D. Artemovych and Victor A. Bovdi and Mohamed A. Salim},
journal= {arXiv preprint arXiv:2003.01346},
year = {2020}
}
Comments
17 pages