Some ugly aleph_1-free abelian groups

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dc.creatorShelah, Saharon
dc.creatorStrüngmann, Lutz
dc.date2001-07-29
dc.date.accessioned2026-07-07T04:42:46Z
dc.date.available2026-07-07T04:42:46Z
dc.descriptionGiven an aleph_1-free abelian group G we characterize the class C_G of all torsion abelian groups T satisfying Ext(G,T)=0 assuming the continuum hypothesis CH. Moreover, in Godel's constructable universe we prove that this characterizes C_G for arbitrary torsion-free abelian G. It follows that there exist some ugly aleph_1-free abelian groups.
dc.identifierhttps://arxiv.org/abs/math/0107208
dc.identifierhttp://arxiv.org/abs/math/0107208
dc.identifierRocky Mountain J. Math. 32 No. 4 (2002) 1617--1626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61925
dc.subjectLogic
dc.subjectGroup Theory
dc.titleSome ugly aleph_1-free abelian groups
dc.typetext

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