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A Class of Torsion-Free Abelian Groups of Finite Rank [PDF]

Proceedings of the London Mathematical Society, 1965
M. C. R. Butler
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On a class of torsion-free abelian groups of finite rank [PDF]

Mathematical Notes, 1994
A class of torsion free finite rank Abelian groups is characterized in this paper. The class can be treated as a generalization of Murley's \(\mathcal E\)-group class. The results of \textit{A. Fomin}'s paper [Algebra Logika 26, No. 1, 63-83 (1987; Zbl 0638.20030)] are applied.
I. Karpova
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The Grothendieck Group of Torsion-Free Abelian Groups of Finite Rank

Proceedings of the London Mathematical Society, 1963
Joseph Rotman
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Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 17-25 (Russian) (1983; Zbl 0524.20029).
E. Blagoveshchenskaya
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FINITE AUTOMORPHISM GROUPS OF TORSION-FREE ABELIAN GROUPS OF FINITE RANK

Mathematics of the USSR-Izvestiya, 1989
A well-known result of Jónsson states that each torsion-free group G of finite rank has a quasi-direct decomposition i.e. a subgroup A of finite index which is a direct sum of pure strongly indecomposable subgroups. For such a group several quasi-direct decompositions do exist all being quasi-isomorphic but generally not isomorphic.
S. Kozhukhov
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Duality in some classes of torsion-free Abelian groups of finite rank [PDF]

Siberian Mathematical Journal, 1987
Let \(\sigma\), \(\tau\) be a pair of types of torsion-free (abelian) groups of rank 1 which are determined by characteristics \((k_ p)\), \((m_ p)\) such that \(k_ p\leq m_ p\) for all primes \(p\). A torsion-free group \(A\) of finite rank \(n\) belongs to the class \(D^{\tau}_{\sigma}\) iff there exists a free subgroup \(J\) of rank \(n\) of \(A ...
A. Fomin
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Quasi-Pure Injective and Projective Torsion-Free Abelian Groups of Finite Rank

Proceedings of the London Mathematical Society, 1979
Donald M. Arnold, B. O'Brein, James D. Reid   +2 more
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Direct decompositions of torsion-free Abelian groups of finite rank

Journal of Soviet Mathematics, 1990
See the review in Zbl 0631.20045.
A. V. Yakovlev
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Invariants and duality in some classes of torsion-free abelian groups of finite rank

Algebra and Logic, 1987
See the review in Zbl 0638.20030.
A. Fomin
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Torsion free Abelian groups of finite rank and their direct decompositions

Journal of Soviet Mathematics, 1991
See the review in Zbl 0713.20050.
A. V. Yakovlev
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