scientific article; zbMATH DE number 1405576
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Publication:4938555
zbMath0958.03024MaRDI QIDQ4938555
Publication date: 19 March 2001
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Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Abelian groups (20K99) Categoricity and completeness of theories (03C35)
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Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup ⋮ Relative categoricity in abelian groups. II ⋮ Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\) ⋮ Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup
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