A new abstract elementary class of torsion-free abelian groups is built that is unstable, has JEP and no maximal models but no AP, and is (<aleph0)-tame.
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An unstable abstract elementary class of modules: A variation of Paolini-Shelah's example
A new abstract elementary class of torsion-free abelian groups is built that is unstable, has JEP and no maximal models but no AP, and is (<aleph0)-tame.