Geodesic
Normality in group rings
Algebra i analiz, Tome 19 (2007) no. 2, pp. 1-9.

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Let $KG$ be the group ring of a group $G$ over a commutative ring $K$ with unity. The rings $KG$ are described for which $xx^\sigma=x^\sigma x$ for all $x=\sum_{g\in G}\alpha_gg\in KG$, where $x\mapsto x^\sigma=\sum_{g\in G}\alpha_gf(g)\sigma(g)$ is an involution of $KG$; here $f\colon G\to U(K)$ is a homomorphism and $\sigma$ is an antiautomorphism of order two of $G$.
Keywords: Group ring, normality. 
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V. A. Bovdi; S. Siciliano. Normality in group rings. Algebra i analiz, Tome 19 (2007) no. 2, pp. 1-9. http://geodesic.mathdoc.fr/item/AA_2007_19_2_a0/

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