Model theory of finite fields and pseudo-finite fields

DOI10.1016/S0168-0072(97)00017-1zbMath0924.12006OpenAlexW2016336162MaRDI QIDQ1377639

Zoé Chatzidakis

Publication date: 14 November 1999

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-0072(97)00017-1

zbMATH Keywords

surveyfinite fieldsdecidabilitypseudo-finite fields

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Finite fields (field-theoretic aspects) (12E20) Model theory (number-theoretic aspects) (11U09) Model theory of fields (12L12)

Related Items (6)

Higher reciprocity law and an analogue of the Grunwald-Wang theorem for the ring of polynomials over an ultra-finite field ⋮ Arithmetic groups have rational representation growth. ⋮ FORKING, IMAGINARIES, AND OTHER FEATURES OF ⋮ Model theory of finite and pseudofinite groups ⋮ Artin-Schreier extensions in NIP and simple fields ⋮ Pseudofinite structures and simplicity

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