Results 191 to 200 of about 46,642 (242)

ENDOPRIMAL TORSION-FREE SEPARABLE ABELIAN GROUPS

Journal of Algebra and Its Applications, 2004
We give a characterization for the groups in the title in terms of the graph structure of the critical types occurring in the group. Moreover, we give an example of arbitrarily large endoprimal indecomposable groups.
Göbel, R., Kaarli, K., Márki, L., Wallutis, S. L.   +3 more
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Local Abelian Torsion-Free Groups

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Torsion-free abelian groups with optimal Scott families

Journal of Mathematical Logic, 2017
We prove that for any computable successor ordinal of the form [Formula: see text] [Formula: see text] limit and [Formula: see text] there exists computable torsion-free abelian group [Formula: see text]TFAG[Formula: see text] that is relatively [Formula:
A. Melnikov
semanticscholar   +1 more source

Direct Decompositions of Torsion-Free Abelian Groups

Lobachevskii Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Tight subgroups in torsion-free Abelian groups

Israel Journal of Mathematics, 2003
The paper deals with ``tight subgroups'' of torsion-free Abelian groups, namely those subgroups that are maximal with respect to being completely decomposable. Tight subgroups were first studied by \textit{K. Benabdallah}, \textit{A. Mader} and \textit{M. A. Ould-Beddi} [J. Algebra 225, No.
Ould-Beddi, Mohamed A., Strüngmann, Lutz   +1 more
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A NOTE ON HOMOGENEOUS TORSION-FREE ABELIAN GROUPS

The Quarterly Journal of Mathematics, 1984
Let \(\tau\) be a type of a rational group and let \(\kappa\) be an infinite cardinal. A (torsion-free abelian) group G is called \(\kappa\)-homogeneous of type \(\tau\) if every pure subgroup of G of rank less than \(\kappa\) is a homogeneous completely decomposable group of type \(\tau\).
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Universally fully and Krylov transitive torsion-free abelian groups

Monatshefte für Mathematik (Print), 2021
A. Chekhlov, P. Danchev, P. Keef
semanticscholar   +1 more source

Torsion-Free Abelian Groups

2000
There are two equivalence relations on torsion-free abelian groups that are weaker than group isomorphism, namely quasi-isomorphism and isomorphism at a prime p. Properties of these equivalence relations are conveniently expressed in a categorical setting.
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On Torsion-Free Minimal Abelian Groups

Communications in Algebra, 2005
ABSTRACT An abelian group is said to be minimal if it is isomorphic to all its subgroups of finite index. In this article we show that torsion-free groups which are complete in their ℤ-adic topology or are of p-rank not greater than 1, for all primes p, are minimal.
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Torsion-free factor groups of free abelian groups and a classification of torsion-free abelian groups

Publicationes Mathematicae Debrecen, 2022
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