Infinitary Axiomatizability of Slender and Cotorsion-Free Groups

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dc.creatorKolman, Oren
dc.creatorShelah, Saharon
dc.date1999-10-28
dc.date.accessioned2026-07-07T05:31:20Z
dc.date.available2026-07-07T05:31:20Z
dc.descriptionThe classes of slender and cotorsion-free abelian groups are axiomatizable in the infinitary logics L_{infty,omega_1} and L_{infty,omega}, respectively. The Baer-Specker group Z^omega is not L_{infty,omega_1}-equivalent to a slender group.
dc.identifierhttps://arxiv.org/abs/math/9910162
dc.identifierhttp://arxiv.org/abs/math/9910162
dc.identifierBull. Belg. Math. Soc. Simon Stevin 7 No. 4 (2000) 623--629
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79302
dc.subjectLogic
dc.subject20A15 (Primary) 03C55, 03C75, 20A05, 20K20 (Secondary)
dc.titleInfinitary Axiomatizability of Slender and Cotorsion-Free Groups
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