Hypertypes of torsion-free abelian groups of finite rank
Copyright policy ) Goeters, H. P.; Vinsonhaler, C.; Wickless, W.;
Hypertypes of torsion-free abelian groups of finite rank
Let G be a torsion-free abelian group of finite rank n and let F be a full free subgroup of G. Then G/F is isomorphic to T1 ⊕ … ⊕ Tn, where T1 ⊆ T2 ⊆ … ⊆ Tn ⊆ ℚ/ℤ. It is well known that type T1 = inner type G and type Tn = outer type G. In this note we give two characterisations of type Ti for 1 < i < n.
- Auburn University United States
- University of Connecticut United States
- Auburn University System United States
hypertypes, torsion-free group of finite rank, Torsion-free groups, finite rank, outer type, Direct sums, direct products, etc. for abelian groups, inner type, standard decomposition
hypertypes, torsion-free group of finite rank, Torsion-free groups, finite rank, outer type, Direct sums, direct products, etc. for abelian groups, inner type, standard decomposition
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 5
Average
Top 10%
Average
bronze
Fields of Science