Derivations of group rings

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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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. Â

Original languageEnglish
Pages (from-to)51-72
Number of pages22
JournalActa Scientiarum Mathematicarum
Volume86
Issue number1-2
DOIs
Publication statusPublished - 2020
Externally publishedYes

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

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