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The elementary theory ofω-free ax fields

✍ Scribed by Moshe Jarden

Publisher
Springer-Verlag
Year
1976
Tongue
English
Weight
955 KB
Volume
38
Category
Article
ISSN
0020-9910

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The elementary theory of e-free PAC doma
The elementary theory of e-free PAC domains
✍ Aharon Razon 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 290 KB

We prove that the theory of all sentences in the language of rings which are true in Z ∩ Q( ) for almost all ∈ G(Q) e is decidable. Here Q is the ÿeld of all algebraic numbers; Z is the ring of all algebraic integers; G(Q) is the absolute Galois group of Q; for each = ( 1; : : : ; e) ∈ G(Q) e , Q( )