1 citations · 1 across the 5 of their papers we have counts for
7 papers
Canonical Decompositions of Abelian Groups
Phill Schultz
Every torsion--free abelian group of finite rank has two essentially unique complete direct decompositions whose summands come from specific classes of groups.
Torsion--free abelian groups revisited (2)
Phill Schultz
Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut(G) on the set of maximal independent subsets of G determine the indecomposable decompositions…
Torsion-free Abelian Groups Revisited
Phill Schultz
Let G be a torsion--free abelian group of finite rank. The automorphism group Aut(G) acts on the set of maximal independent subsets of G. The orbits of this action are the isomorph…
Decompositions of torsion-free abelian groups
Gabor Braun. Phill Schultz, Lutz Struengmann
It is known that every torsion-free abelian group of finite rank has a maximal completely decomposable summand that is unique up to isomorphism. We show that groups of infinite ran…
Indecomposable Decompositions of Torsion-free Abelian Groups
Adolf Mader, Phill Schultz
An indecomposable decomposition of a torsion-free abelian group of rank is a decomposition where is indecomposable of rank so that…
Completely decomposable direct summands of torsion--free abelian groups of finite rank
Adolf Mader, Phill Schultz
Let be a finite rank torsion--free abelian group. Then there exist direct decompositions where is completely decomposable and has no rank 1 direct summand…