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
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.