Infinitary Axiomatizability of Slender and Cotorsion-Free Groups

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

1999-10-28

arxiv.org/abs/math/9910162v1

Mathematics

Logic

Scientific paper

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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