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Derivations of group rings
Authors:
- Orest D. Artemovych,
- Victor A. Bovdi,
- Mohamed A. Salim
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 F C-) group, then each R-derivation of R[G] is inner. Similar results also are obtained for other classes of groups G and rings R.
- Record ID
- CUT3bdfc3c6016742f48fec747eb096027e
- Publication categories
- ;
- Author
- Journal series
- Acta Scientiarum Mathematicarum, ISSN 0001-6969
- Issue year
- 2020
- Vol
- 86
- No
- 1-2
- Pages
- 51-72
- Other elements of collation
- Bibliografia (na s.) - 69-72; Bibliografia (liczba pozycji) - 53; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 86, Nr 1-2
- Keywords in English
- group ring, derivation, locally finite group, solder, torsion-free group, nilpotent group, differentially trivial ring, nilpotent Lie ring, solvable Lie ring
- DOI
- DOI:10.14232/actasm-019-664-x Opening in a new tab
- URL
- http://pub.acta.hu/acta/showCustomerArticle.action?id=51683&dataObjectType=article&returnAction=showCustomerVolume&sessionDataSetId=9d65bcc0781fddb&style= Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT3bdfc3c6016742f48fec747eb096027e/
- URN
urn:pkr-prod:CUT3bdfc3c6016742f48fec747eb096027e
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.