Subgroups of finite index in an additive group of a ring

Doostali Mojdeh and S. Hassan Hashemi

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-7

Abstract:

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.

Date: 2001
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/27/625650.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/27/625650.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:625650

DOI: 10.1155/S0161171201010274

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().