### Infinitary Axiomatizability of Slender and Cotorsion-Free Groups

by Kolman and Shelah. [KlSh:709]

Bull. Belg. Math. Soc., 2000

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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