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arXiv · 2003.01346

Derivations of group rings

Orest D. Artemovych·Victor A. Bovdi·Mohamed A. Salim
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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.

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Orest D. Artemovych, Victor A. Bovdi, Mohamed A. Salim. 2020-03-03. Derivations of group rings. https://doi.org/10.1016/j.physletb.2020.135830

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