Torsion-free abelian groups of finite rank projective as modules over their endomorphism rings
Journal of Algebra, 1981 Donald M. Arnold +4 more
semanticscholar +4 more sources
Finite rank torsion-free abelian groups uniserial over their endomorphism rings [PDF]
Proceedings of the American Mathematical Society, 1985 An abelian group is E E -uniserial if its lattice of fully invariant subgroups is totally ordered. Finite rank torsion-free reduced E E -uniserial groups are characterized. Such a group is a free module over the center C C of its endomorphism ring, and C C is a strongly ...
Jutta Hausen
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A matrix description for torsion free abelian groups of finite rank
Rendiconti del Seminario Matematico della Università di Padova, 2020 We describe torsion free abelian groups of finite rank applying matrices with polyadic entries. This description can be considered as a modification of the classic description by A. I. Mal'cev.
A. Fomin
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The classification of torsion-free abelian groups of finite rank up to isomorphism and up to quasi-isomorphism [PDF]
, 2011 The isomorphism and quasi-isomorphism relations on the $p$-local torsion-free abelian groups of rank $n\geq3$ are incomparable with respect to Borel reducibility.
Samuel Coskey
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A note on quasi-isomorphism of torsion free abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1965 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ladislav Procházka
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Countable ℵ0-indecomposable mixed abelian groups of finite torsion-free rank
Journal of Algebra, 1986 A group is \(\aleph_ 0\)-indecomposable if it cannot be decomposed into a direct sum of \(\aleph_ 0\) non-zero summands. In this paper the authors find necessary and sufficient conditions for an extension of a countable reduced torsion abelian group T by a finite rank torsion-free abelian group R to be \(\aleph_ 0\)-indecomposable. These conditions are
Saharon Shelah, Alexander Soifer
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On controllers of prime ideals in group algebras of torsion-free abelian groups of finite rank
, 2003 In the presented paper we consider some methods of studying of prime ideals in group algebras of abelian groups of finite ...
A. V. Tushev
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p-adic functionals on finite-rank torsion-free abelian groups
, 2016 15 ...
Gregory R. Maloney
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Borel superrigidity and the classification problem for the torsion-free abelian groups of finite rank [PDF]
, 2007 Simon Thomas
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On the $p$-rank of torsion-free Abelian groups of finite rank [PDF]
Czechoslovak Mathematical Journal, 1962 Ladislav Procházka
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