Yayınlanmış 1 Ocak 2022 | Sürüm v1
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MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS

  • 1. Bogazici Univ, Matemat Bolumu, TR-34342 Istanbul, Turkey
  • 2. Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2, PL-50384 Wroclaw, Poland

Açıklama

We show that the theory of Galois actions of a torsion Abelian group A is companionable if and only if, for each prime p, the p-primary part of A is either finite or it coincides with the Prufer p-group. We also provide a model-theoretic description of the model companions we obtain.

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bib-92ba2947-e039-4085-a0c7-386e6dae2180.txt

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