A. Mader

collaborators

3 papers

math.GR2018

The Main Decomposition of Finite-Dimensional Protori

Wayne Lewis, Adolf Mader

A protorus is a compact connected abelian group. We use a result on finite rank torsion-free abelian groups and Pontryagin Duality to considerably generalize a well-known factoriza…

math.GR2018

Indecomposable Decompositions of Torsion-free Abelian Groups

Adolf Mader, Phill Schultz

An indecomposable decomposition of a torsion-free abelian group $G$ of rank $n$ is a decomposition $G = A_{1} \oplus \dots \oplus A_{t}$ where $A_{i}$ is indecomposable of rank $r_{i}$ so that…

math.GR2017

Completely decomposable direct summands of torsion--free abelian groups of finite rank

Adolf Mader, Phill Schultz

Let $A$ be a finite rank torsion--free abelian group. Then there exist direct decompositions $A = B \oplus C$ where $B$ is completely decomposable and $C$ has no rank 1 direct summand…