MODEL THEORY OF GALOIS ACTIONS OF TORSION ABELIAN GROUPS

被引：0

作者：

Beyarslan, Ozlem ^{[1
]}

Kowalski, Piotr ^{[2
]}

机构：

[1] Bogazici Univ, Matemat Bolumu, TR-34342 Istanbul, Turkey

[2] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2, PL-50384 Wroclaw, Poland

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2022年

关键词：

difference field; model companion; Prufer group; Frattini cover; FIELDS; PAC;

D O I：

10.1017/S1474748022000305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2943 / 2985

页数：43

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