Derivations of group rings
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 cla...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2020
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| Sorozat: | Acta scientiarum mathematicarum
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| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-019-664-x |
| Online Access: | http://acta.bibl.u-szeged.hu/69362 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 51-72 |
| ISSN: | 2064-8316 |