On Determinability of a Completely Decomposable Torsion-Free Abelian Group by its Automorphism Group
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DOI: 10.1007/s10958-018-3742-z
Abstract: In this paper, we consider the question of determinability of an Abelian group by its automorphism group in the class of completely decomposable torsion-free Abelian groups whose direct summands of rank 1 have idempotent types. read more here.
Keywords: abelian group; decomposable torsion; group; automorphism group ... See more keywords
On fully inert subgroups of completely decomposable groups
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DOI: 10.1134/s0001434617010394
Abstract: The completely decomposable torsion-free Abelian groups with finitely many homogeneous components for which every fully inert subgroup is commensurable with a fully invariant subgroup are described. read more here.
Keywords: inert subgroups; decomposable groups; completely decomposable; fully inert ... See more keywords