It is well-known that every bounded Abelian group is a direct sum of finite cyclic subgroups. We characterize those non-trivial bounded subgroups H of an infinite Abelian group G, for which there is an infinite subgroup G0 of G containing H such that G0 has a special decomposition into a direct sum which takes into account the properties of G, and which induces a natural decomposition of H into a direct sum of finite subgroups.
|Number of pages||14|
|Journal||Commentationes Mathematicae Universitatis Carolinae|
|State||Published - 1 Jan 2014|
- Abelian group
- Bounded group
- Simple extension