On abelian groups by which balanced extensions of a rational group split. II
Ladislav Bican, László Fuchs (1994)
Czechoslovak Mathematical Journal
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Displaying similar documents to “A result on -groups”
On abelian groups by which balanced extensions of a rational group split. II
A characterization of countable Butler groups
L. Bican, L. Salce, J. Štěpán (1985)
Rendiconti del Seminario Matematico della Università di Padova
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A property of -groups
Kulumani M. Rangaswamy (1994)
Commentationes Mathematicae Universitatis Carolinae
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It is shown, under ZFC, that a -group has the interesting property of being -prebalanced in every torsion-free abelian group in which it is a pure subgroup. As a consequence, we obtain alternate proofs of some well-known theorems on -groups.
Butler groups cannot be classified by certain invariants
Paul Hill, Charles Megibben (1993)
Rendiconti del Seminario Matematico della Università di Padova
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On some subgroups of infinite rank Butler groups
Manfred Dugas (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Self-pseudoprojective completely decomposable Abelian groups.
Gardner, B.J. (1998)
Mathematica Pannonica
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On a class of locally Butler groups
Ladislav Bican (1991)
Commentationes Mathematicae Universitatis Carolinae
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A torsionfree abelian group is called a Butler group if for any torsion group . It has been shown in [DHR] that under any countable pure subgroup of a Butler group of cardinality not exceeding is again Butler. The purpose of this note is to show that this property has any Butler group which can be expressed as a smooth union of pure subgroups having countable typesets.