Author(s): CHEN Huanyin~**departmentofmathematics, HANGZHOU Normaluniversity, HANGZHOU 310036china.
Pages: 755-764
Year: 2008 Issue:  6
Journal: Chinese Annals of Mathematics
Keyword:  适中稳定环;  置换环;  K_1群;
Abstract: 引入了一类新的稳定环——适中稳定环,证明了如果R是Artin本原因子的置换环,则R是适中稳定环当且仅当1_R=α+β,其中α,β∈U(R).如果R是适中稳定环,则K_1(R)≌(R)/(?)(R),这里(?)(R)是V(R)与U(R)′之间的适中子群.作为应用,计算了Artin本原因子的置换环的K_1群.