关于G.Almkvist的一个问题

On a Problem of G. Almkvist's

本文对G.Almkvist问题给出了一个转化,即证明:若R是左半遗传的左Artin环,则K(?)(EndP(R))≌K_0R(?)K(?)(AutP(R)),并指出对于与交换环Morita等价的环,G.Almkvist问题容易解决。

G. Almkvist raised an open problem in [4]: compute K_0(EndP(R))when R is noncommutative ring. In this note, the main result obtained is Theorem: if R is a left Artinian and also left semi-hereditary ring, then K_0(EndP(R))≌K_0R(?)K_0(AutP(R))