Abstract
We develop the basic concepts of logic and model theory that we require for applications to field theory. This includes the Skolem-Löwenheim theorem, Łoš’ theorem and an א1-saturation property for ultraproducts. Finally, we apply regular ultraproducts of families of models to the theory of finite fields.
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Notes
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© 1986 Springer-Verlag Berlin Heidelberg
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Fried, M.D., Jarden, M. (1986). Ultraproducts. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07216-5_6
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DOI: https://doi.org/10.1007/978-3-662-07216-5_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-07218-9
Online ISBN: 978-3-662-07216-5
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