Absolutely rigid systems and absolutely indecomposable groups

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dc.creatorEklof, Paul C.
dc.creatorShelah, Saharon
dc.date2000-10-27
dc.date.accessioned2026-07-07T04:38:17Z
dc.date.available2026-07-07T04:38:17Z
dc.descriptionWe give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal kappa(omega).
dc.identifierhttps://arxiv.org/abs/math/0010264
dc.identifierhttp://arxiv.org/abs/math/0010264
dc.identifierin: {Abelian groups and modules (Dublin, 1998)} (1999) 257--268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60216
dc.subjectLogic
dc.subjectRings and Algebras
dc.titleAbsolutely rigid systems and absolutely indecomposable groups
dc.typetext

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