40 citations · 153 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
Rigid abelian groups and the probabilistic method
Gábor Braun, Sebastian Pokutta
The construction of torsion-free abelian groups with prescribed endomorphism rings starting with Corner's seminal work is a well-studied subject in the theory of abelian groups. Us…
Characterization of matrix types of ultramatricial algebras
Gábor Braun
A dimension group is a partially ordered countable group such that (1) every finite subset is contained in an ordered subgroup which is a finite direct power of Z and (2) the group…
A proof of Higgins' conjecture
Gabor Braun
Let f: G=* G(i) -> B=* B(i) be a group homomorphism between free products of groups. Suppose that G(i)f=B(i) of all i. Let H be a subgroup of G such that Hf=B. Then H decomposes in…