Results 121 to 130 of about 222 (151)

Sums of Complexes in Torsion Free Abelian Groups

Canadian Mathematical Bulletin, 1969
Let A, B, denote two non-void finite complexes (= subsets) of the torsion free abelian group G,Let d(A),… denote the maximum number of linearly independent elements of A,… and let n = n(A, B) denote the number of elements of A + B whose representation in the form a + b is unique. In the preceding paper, Tarwater and Entringer [1] proved that n ≥ d(A).
Heilbronn, H., Scherk, P.
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Local Abelian Torsion-Free Groups

Journal of Mathematical Sciences, 2014
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Enumerations and Torsion Free Abelian Groups

2007
We study possible spectrums of torsion free Abelian groups. We code families of finite sets into group and set up the correspondence between their algorithmic complexities.
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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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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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Superposition for divisible torsion-free abelian groups

1998
Variable overlaps are one of the main sources for the inefficiency of AC or ACU theorem proving calculi. In the presence of the axioms of abelian groups or at least cancellative abelian monoids, ordering restrictions allow us to avoid some of these overlaps, but inferences with unshielded variables remain necessary.
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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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On a Class of Torsion-Free Abelian Groups

Proceedings of the London Mathematical Society, 1970
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The abelian groups with torsion-free endomorphism ring

Publicationes Mathematicae Debrecen, 2022
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