Subgroups of finite index in an additive group of a ring
Autor: | S. Hassan Hashemi, Doostali Mojdeh |
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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 |
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