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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