Subgroups of finite index in an additive group of a ring

Autor: S. Hassan Hashemi, Doostali Mojdeh
Jazyk: angličtina
Rok vydání: 2001
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 27, Iss 2, Pp 83-89 (2001)
ISSN: 1687-0425
0161-1712
Popis: IfKis an infinite field andG⫅Kis a subgroup of finite index in an additive group, thenK∗=G∗G∗−1whereG∗denotes the set of all invertible elements inGandG∗−1denotes all inverses of elements ofG∗. Similar results hold for various fields, division rings and rings.
Databáze: OpenAIRE