Infinitary Axiomatizability of Slender and Cotorsion-Free Groups
Oren Kolman, Saharon Shelah
math.LOarXiv:math/9910162
Abstract
The classes of slender and cotorsion-free abelian groups are axiomatizable in the infinitary logics Linfty,omega1 and Linfty,omega, respectively. The Baer-Specker group Zomega is not Linfty,omega1-equivalent to a slender group.
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