On an exponential predicate in polynomials over finite fields

Author:

Sirokofskich Alla

Abstract

We show that the theory of the set of polynomials in F q [ t ] \mathbb {F}_q[t] , where F q \mathbb {F}_q is a finite field, in a language including addition and a predicate for the relation “ x x is a power of t t ” is model-complete and therefore decidable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

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