Derivations of group rings

Artemovych Orest D. and Bovdi Victor A. and Salim Mohamed A.: Derivations of group rings. In: Acta scientiarum mathematicarum 86. pp. 51-72. (2020)

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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 F C-) group, then each Rderivation of R[G] is inner. Similar results also are obtained for other classes of groups G and rings R.

Item Type:	Article
Heading title:	Algebra
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2020
Number:	86
ISSN:	2064-8316
Page Range:	pp. 51-72
Related URLs:	http://acta.bibl.u-szeged.hu/69543/
DOI:	10.14232/actasm-019-664-x
Uncontrolled Keywords:	Matematika, Algebra
Additional Information:	Bibliogr.: p. 69-72. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2020. Jul. 27. 09:52
Last Modified:	2020. Jul. 27. 09:52
URI:	http://acta.bibl.u-szeged.hu/id/eprint/69362

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