Results 201 to 210 of about 626 (221)

Torsion-Free Groups of Infinite Rank

Springer Monographs in Mathematics, 2015
This chapter continues the theme of torsion-free groups, this time for the infinite rank case. There is no shortage of relevant results.
Fuchs László
exaly   +4 more sources

Near Isomorphism for a Class of Infinite Rank Torsion-Free Abelian Groups

Communications in Algebra, 2007
The notion of “near isomorphism” for torsion-free Abelian groups of finite rank is well known. In particular, this concept turned out to be of importance for classifying almost completely decomposable groups. We extend near isomorphism to classes of torsion-free Abelian groups of infinite rank which are unions of bcd–groups, this is to say unions of ...
Ekaterina Blagoveshchenskaya, Lutz Strüngmann   +1 more
openaire   +3 more sources

On the Structure of Torsion-free Groups of Infinite Rank

2022
openaire   +3 more sources

Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups

Journal of Group Theory, 2016
Abstract Near-isomorphism is known as the right concept for classification theorems in the theory of almost completely decomposable groups. As a natural generalization the authors extended in [6] the notion of near-isomorphism to Abelian groups of arbitrary rank.
Blagoveshchenskaya, Ekaterina, Strüngmann, Lutz H.   +1 more
openaire   +1 more source

Near Isomorphism for Countable-Rank Torsion-Free Abelian Groups

Journal of Mathematical Sciences, 2021
E A Blagoveshchenskaya, A V Filimonov, Filimonov A V   +2 more
exaly  

Torsion-free Abelian groups of finite rank as endomorphic modules over their endomorphism ring

Mathematical Notes, 2013
D S Chistyakov, Chistyakov D S
exaly  

Torsion-Free Groups

Springer Monographs in Mathematics, 2015
Fuchs László
exaly  

Splitting Mixed Groups of Finite Torsion-Free Rank

Communications in Algebra, 2004
Takashi Okuyama
exaly  

Balanced projective and cobalanced injective torsion free groups of finite rank

Acta Mathematica Hungarica, 1985
C Vinsonhaler
exaly  

Quasiendomorphism algebras of some quasidecomposable rank 4 torsion-free abelian groups

Siberian Mathematical Journal, 2016
A V Cherednikova
exaly