文章基本信息
- 标题：Whitehead groups of exchange rings with primitive factors artinian
- 本地全文：下载
- 作者：Huanyin Chen ; Fu-an Li
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：2001
- 卷号：26
- 期号：7
- 页码：393-398
- DOI：10.1155/S0161171201005464
- 出版社：Hindawi Publishing Corporation
- 摘要：
We show that if R is an exchange ring with primitive factors artinian then K 1 ( R ) ≅ U ( R ) / V ( R ) , where U ( R ) is the group of units of R and V ( R ) is the subgroup generated by { ( 1 + a b ) ( 1 + b a ) − 1 | a , b ∈ R with 1 + a b ∈ U ( R ) } . As a corollary, K 1 ( R ) is the abelianized group of units of R if 1 / 2 ∈ R .
