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Elementary properties of power series fields over finite fields | Franz-Viktor Kuhlmann
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1 Jul 1998 | Subject: | Rings and Algebras; Commutative Algebra | math.RA math.AC | Affiliation: | University of Saskatchewan | Abstract: | In spite of the analogies between Q_p and F_p((t)) which became evident through the work of Ax and Kochen, an adaptation of the complete recursive axiom system given by them for Q_p to the case of F_p((t)) does not render a complete axiom system. We show the independence of elementary properties which express the action of additive polynomials as maps on F_p((t)). We formulate an elementary property expressing this action and show that it holds for all maximal valued fields. We also discuss the action of arbitrary polynomials on valued fields. | Source: | arXiv, math.RA/9807186 | Services: | Forum | Review | PDF | Favorites |
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