摘要
In this paper,the exchange rings R whose primitive factor rings are artinian are studied. The following results are proved:for any exchange ring R and any two-sided ideal I of R.K_0(π): K_0(R)—K_0(R/I)is a group epimorphism with the kernel{[P]-[Q]|P=PI.Q=QI}:there is an isomorphism of ordered groups from K_v(R)to the group of all such functions f_P:K—Q(P∈p(R)). where X is the set of all primitive ideals of R and Q,the rational integers.
In this paper,the exchange rings R whose primitive factor rings are artinian are studied. The following results are proved:for any exchange ring R and any two-sided ideal I of R.K_0(π): K_0(R)—K_0(R/I)is a group epimorphism with the kernel{[P]-[Q]|P=PI.Q=QI}:there is an isomorphism of ordered groups from K_v(R)to the group of all such functions f_P:K—Q(P∈p(R)). where X is the set of all primitive ideals of R and Q,the rational integers.
基金
supported by the Natural Science Foundation of P.R.China(No.19601009)
