Number fields and divisible groups via model theory
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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.
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Keywords
Model theory, number fields, divisible groups, Matematik, model theory, Model-theoretic algebra, divisible groups, Classification theory, stability, and related concepts in model theory, Model theory (number-theoretic aspects), number fields, Other number fields
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0101 mathematics, 01 natural sciences
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Volume
45
Issue
1
Start Page
220
End Page
232
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