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$(\sigma,\tau)$-Derivations of Group Rings. (arXiv:1803.09418v3 [math.RA] UPDATED)
来源于:arXiv
We study $(\sigma,\tau)$-derivations of a group ring $RG$ of a finite group
$G$ over an integral domain $R$ with $1$. As an application we extend a well
known result on derivation of an integral group ring $\Bbb{Z}G$ to
$(\sigma,\tau)$-derivation on it for a finite group $G$ with some conditions on
$\sigma$ and $\tau$. In the process of the extension, a generalization of an
application of Skolem-Noether Theorem to derivation on a finite dimensional
central simple algebra has also been given for the $(\sigma,\tau)$-derivation
case. 查看全文>>