Subgroups of finite index in an additive group of a ring
| Autor: | Doostali Mojdeh, S. Hassan Hashemi |
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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) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171201010274 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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