Torsion-free abelian groups - Open Access .click

Proceedings of the American Mathematical Society, 1987
A height sequence s is a function on primes p with values \(s_ p\) natural numbers or \(\infty\). The height sequence \(| x|\) of an element x in a torsion-free abelian group G is defined by \(| x|_ p=height\) of x at p. For a height sequence s, \(G(s)=\{x\in G:| x| \geq s\}\), \(G(ps)=\{x\in G(s):| x|_ p\geq s_ p+1\}\), \(G(s^*)=\{x\in G(s):\sum_{p}(|
Dugas, Manfred, Rangaswamy, K. M.
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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. +3 more
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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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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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mathematics
abelian group
torsion gastropod

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combinatorics
elementary abelian group
torsion subgroup