Number fields and divisible groups via model theor

Authors: ŞERMİN ÇAM ÇELİK, HAYDAR GÖRAL

Abstract: In this note, we first show that solutions of certain equations classify the number fields lying in imaginary quadratic number fields. Then, we study divisible groups with a predicate. We show that these structures are not simple and have the independence property under some natural assumptions.

Keywords: Model theory, number fields, divisible groups

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