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Infinitary Axiomatizability of Slender and Cotorsion-Free Groups

Oren Kolman·Saharon Shelah
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Abstract

The 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.

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BibTeXRIS

Oren Kolman, Saharon Shelah. 1999-10-28. Infinitary Axiomatizability of Slender and Cotorsion-Free Groups. https://arxiv.org/abs/math/9910162

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