论文标题
组环的派生
Derivations of group rings
论文作者
论文摘要
令r [g]为统一的关联环r上的G组环，以使G的所有元素分隔在R中是可逆的。如果R为有限，而G是Chernikov（Torsion FC-）组，那么R [G]的每个R derivation均为内部。其他类别的G组和环。也获得了类似的结果。
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.
