摘要
本文研究了半完全环的K1群.利用半局部环的K1群的已知结果和半完全环的构造,证明了半完全环R的K1群是R的一些子环的K1群的直和与R的单位群的一个子群的商群.
In this paper,the K1-group of a semiperfect ring is studied.By using the known result of K1-group of a semilocal ring and the construction of the semiperfect ring.It is proved that the K1-group of a semiperfect ring R is the quotient group of the direct sum of K1-groups of some subrings of R by a subgroup of the unit group of R.
出处
《数学杂志》
CSCD
北大核心
2008年第6期629-634,共6页
Journal of Mathematics
关键词
K1群
半完全环
K1-group
semiperfect ring
