文章基本信息
- 标题：Subgroups of finite index in an additive group of a ring
- 本地全文：下载
- 作者：Doostali Mojdeh ; S. Hassan Hashemi
- 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：27
- 期号：2
- 页码：83-89
- DOI：10.1155/S0161171201010274
- 出版社：Hindawi Publishing Corporation
- 摘要：
If K is an infinite field and G ⫅ K is a subgroup of finite index in an additive group, then K ∗ = G ∗ G ∗ − 1 where G ∗ denotes the set of all invertible elements in G and G ∗ − 1 denotes all inverses of elements of G ∗ . Similar results hold for various fields, division rings and rings.
