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Preprint Number 2486
2486. Dong Quan Ngoc Nguyen Local symbols and a first-order definition of the polynomial ring over an ultra-finite field in its fraction field E-mail: Submission date: 6September 2023 Abstract: In this paper, we prove the existence of a first-order definition of the polynomial ring over a nonprincipal ultraproduct of finite fields of distinct characteristics in its fraction field by a universal-existential formula in the language of rings augmented by an additional constant symbol t. Mathematics Subject Classification: Keywords and phrases: |
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