Normality in group rings

Bódi, Viktor and Siciliano, S. (2008) Normality in group rings. Algebra i Analiz, 19 (2). pp. 159-165. ISSN 0234-0852

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Abstract

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=∑(g∈G)alfa(g)g∈KG, where x↦x(sigma)=∑(g∈G)alfa(g)f(g)sigma(g) is an involution of KG; here f:G→U(K) is a homomorphism and σ is an antiautomorphism of order two of G.

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