Corrections to: “Torsion free abelian groups quasiprojective over their endomorphism rings. II” [PDF]
, 1978 C. Vinsonhaler
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On the Indecomposability of Torsion-Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1965 1. We consider the following question posed by E. Weinberg [4, ?5.2]: Does there exist a torsion-free abelian group of cardinality greater than the continuum (K) with the property that each pure subgroup is (directly) indecomposable? In ?2 we answer this question negatively for a large class of groups which contains, most notably, the class of ...
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The Magnus representation and homology cobordism groups of homology cylinders
, 2015 A homology cylinder over a compact manifold is a homology cobordism between two copies of the manifold together with a boundary parametrization. We study abelian quotients of the homology cobordism group of homology cylinders. For homology cylinders over
Sakasai, Takuya
core
Abelian rank of normal torsion-free finite index subgroups of polyhedral groups [PDF]
, 1985 Youn W. Lee
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A theorem on the endomorphism ring of reduced torsion-free abelian groups and some applications [PDF]
, 1978 Gabriella D’Este
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A proof of the Borel completeness of torsion free abelian groups [PDF]
, 2022 M. Laskowski, Douglas Ulrich
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Nearly isomorphic torsion free abelian groups
Journal of Algebra, 1975 AbstractLet K be the Krull-Schmidt-Grothendieck group for the category of finite rank torsion free abelian groups. The torsion subgroup T of K is determined and it is proved that KT is free. The investigation of T leads to the concept of near isomorphism, a new equivalence relation for finite rank torsion free abelian groups which is stronger than ...
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Torsion-Free Abelian Groups are Consistently $a \Delta^1_2$-complete [PDF]
, 2018 Saharon Shelah, Douglas Ulrich
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On controllers of prime ideals in group algebras of torsion-free abelian groups of finite rank [PDF]
, 2003 A. V. Tushev
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Definability of Completely Decomposable Torsion-Free Abelian Groups by Semigroups of Endomorphisms and Groups of Homomorphisms [PDF]
, 2021 T. A. Pushkova
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