Results 121 to 130 of about 238 (157)
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Direct Decomposition Theory of Torsion-Free Abelian Groups of Finite Rank: Graph Method
Lobachevskii Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Blagoveshchenskaya, E., Kunetz, D.
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E-Uniserial Torsion-Free Abelian Groups of Finite Rank
1984An abelian group A is said to be E-uniserial if the lattice of fully invariant subgroups of A is a chain.
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Torsion free Abelian groups of finite rank and their direct decompositions
Journal of Soviet Mathematics, 1991In this note it is understood that all groups are torsion-free abelian groups of finite rank. The author reduces the problem of a description of the groups to the following questions: 1) Classification of strongly indecomposable groups; 2) Classification of categories \(\bar M^ p\); 3) Description of the kinds of groups; 4) Investigation of cones in ...
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Invariants and duality in some classes of torsion-free abelian groups of finite rank
Algebra and Logic, 1987See the review in Zbl 0638.20030.
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On the Complexity of the Classification Problem for Torsion-Free Abelian Groups of Finite Rank
Bulletin of Symbolic Logic, 2001In this paper, we shall discuss some recent contributions to the project [15, 14, 2, 18, 22, 23] of explaining why no satisfactory system of complete invariants has yet been found for the torsion-free abelian groups of finite rank n ≥ 2. Recall that, up to isomorphism, the torsion-free abelian groups of rank n are exactly the additive subgroups of the ...
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On the torsion-free ranks of finitely generated nilpotent groups and of their abelian subgroups
Journal of Group Theory, 2004Denote by \(f(n)\) the greatest integer \(h\) such that there exists a finitely generated nilpotent group of torsion-free rank \(h\) such that the torsion-free ranks of all Abelian subgroups of this group are not greater than \(n\). The author proves that the function \(f(n)\) satisfies the inequality \(f(n)\geq\tfrac18(n^2-4)+n\). Proving this theorem,
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Torsion-free Abelian Groups with Precobalanced Finite Rank Pure Subgroups
, 2022 Anthony J. Giovannitti
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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