拟正则环的若干代数K—理论性质

Some Algebric K-theory Properties on Quasi Reguler Ring

本文讨论了拟正则环的几个代数K—理论性质,得到:定理设R是拟正则环,1 若R还是有1的可换环,则有R的幂零理想J,使得K_0(endM(R))≌K_0(endM(R/J))≌K_0(endH(R/J))≌K_0(endP(R/J))≌K_0(R/J)×(R/J)2 若T是一定向循环,则K_1R≌K_1R〔T〕3 NilR=0,K_0(NiLP(R))≌K_0(NiLP(R/J)).

In this paper, We discuss soms alghraic K- theory propsrties on Quasi- regaler Ring, and gain following result. Theorem: Let R be a quasi- regular ring ( 1 ) if R is also a Cominuitive ring with 1 , then there is a nilpotent ideal J of R, such that (2) if R is a prientecl cycle, then