Quasi-balanced torsion-free groups (Q2713581)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Quasi-balanced torsion-free groups |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-balanced torsion-free groups |
scientific article |
Statements
10 June 2001
0 references
quasi-balanced subgroups
0 references
almost balanced subgroups
0 references
Kravchenko classes
0 references
almost completely decomposable groups
0 references
torsion-free Abelian groups of finite rank
0 references
almost balanced exact sequences
0 references
Quasi-balanced torsion-free groups (English)
0 references
Balanced subgroups play an important role in the structural theory of torsion-free Abelian groups. The paper deals with two generalizations of this notion, namely with quasi-balanced and almost balanced subgroups. This enables to replace the completely decomposable torsion-free groups by the almost completely decomposable groups, the structure of which is intensively studied in the past few years. In the last item the Kravchenko classes of finite rank torsion-free groups are generalized by using almost balanced exact sequences instead of balanced exact sequences.
0 references
