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.
Original language | English |
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Pages (from-to) | 51-72 |
Number of pages | 22 |
Journal | Acta Scientiarum Mathematicarum |
Volume | 86 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 2020 |
Externally published | Yes |
Keywords
- Derivation
- Differentially trivial ring
- Group ring
- Locally finite group
- Nilpotent group
- Nilpotent lie ring
- Solder
- Solvable lie ring
- Torsion-free group
ASJC Scopus subject areas
- Analysis
- Applied Mathematics