关于半完全环的K_1群(英文)  

ON K_1-GROUPS OF SEMIPERFECT RINGS

作　　者：范自强[1] 彭喻振[1] 宋光天[1] 

机构地区：[1]中国科学技术大学数学系,安徽合肥230026

出　　处：《数学杂志》2008年第6期629-634,共6页Journal of Mathematics

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.

关 键 词：K1群 半完全环 

分 类 号：O152.7[理学—数学]