Strong subgroup chains and the Baer-Specker group

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dc.creatorKolman, Oren
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:30:33Z
dc.date.available2026-07-07T12:30:33Z
dc.descriptionExamples are given of non-elementary properties that are preserved under C-filtrations for various classes C of Abelian groups. The Baer-Specker group is never the union of a chain of proper subgroups with cotorsionfree quotients. Cotorsion-free groups form an abstract elementary class (AEC). The Kaplansky invariants of the Baer-Specker group are used to determine the AECs defined by the perps of the Baer-Specker quotient groups that are obtained by factoring the Baer-Specker group B of a ZFC extension by the Baer-Specker group A of the ground model, under various hypotheses, yielding information about its stability spectrum.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0901.2291
dc.identifierhttp://arxiv.org/abs/0901.2291
dc.identifierModels, Modules and Abelian Groups, B. Goldsmith; R. Göbel (Ed.) (2008) 189-200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216162
dc.subjectLogic
dc.subjectGroup Theory
dc.titleStrong subgroup chains and the Baer-Specker group
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