S. Siciliano

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math.RA2008

Normality in group rings

V. A. Bovdi, S. Siciliano

Let $K G$ be the group ring of a group $G$ over a commutative ring $K$ with unity. The rings $K G$ are described for which $x x^{σ} = x^{σ} x$ for all $x = \sum_{g \in G} α_{g} g \in K G$ , where \qua…

math.RA2007

Group identities on the units of algebraic algebras with applications to restricted enveloping algebras

Eric Jespers, David Riley, Salvatore Siciliano

An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-alge…