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Armendariz group rings
Authors:Liu Yang
Affiliation:School of Mathematics, Jilin University, Changchun, China
Abstract:
For a torsion or torsion-free group G and a field F, we characterize the group algebra FG that is Armendariz. Armendariz property for a group ring over a general ring R is also studied and related to those of Abelian group rings and the quaternion ring over R.
Keywords:Armendariz ring  group ring  quaternion ring  reduced ring
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