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Showing papers on "Torsion-free abelian group published in 2021"


Journal ArticleDOI
TL;DR: In this article, the Pontryagin duality of finite-rank torsion-free abelian groups was used to considerably generalize a well-known factorization of a finite-dimensional protorus into a product of a torus and a Torus free complementary factor.
Abstract: Abstract A protorus is a compact connected abelian group of finite dimension. We use a result on finite-rank torsion-free abelian groups and Pontryagin duality to considerably generalize a well-known factorization of a finite-dimensional protorus into a product of a torus and a torus free complementary factor. We also classify direct products of protori of dimension 1 by means of canonical “type” subgroups. In addition, we produce the duals of some fundamental theorems of discrete abelian groups.

2 citations