THE GROTHENDIECK GROUPS OF POLYNOMIAL RINGS AND GROUP RINGS

摘要

In this paper,we gave the Grothendieck groups of sonte polynomial rings and group rings. We obtained if R is a noetherian semi-local ring with gl. dim R0,where one of the following conditions is satisfied: (1). |TorG| is invertible in R.(2). charR=p^s for some s≥1.