具有无挠K_0群的群环

On Group Rings with Torsion-free K_0 Groups

本文研究了R为正则PT环时,具有无挠K_0群的群环,证明了:当R为正则局部环或主理想整环且char R≠o时,G为有限生成Abel群,则K_0RG为无挠群．

:In this paper, we proved the following result: If R is a regular local ring or principal ideal do-main with char R≠0,G is a finitely generated abelian group,then K0RG is torsion-free.