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      Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields

      Communications in Algebra
      Informa UK Limited

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          Maximal fields with valuations

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            The Elementary Theory of Restricted Analytic Fields with Exponentiation

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              A model complete theory of valued D-fields

              The notion of a D -ring, generalizing that of a differential or a differenee ring, is introduced, Quantifier elimination and a version of the Ax—Kochen—Eršov principle is proven for a theory of valued D -fields of residual characteristic zero.
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                Author and article information

                Journal
                Communications in Algebra
                Communications in Algebra
                Informa UK Limited
                0092-7872
                1532-4125
                May 2011
                May 2011
                : 39
                : 5
                : 1730-1776
                Article
                10.1080/00927871003789157
                67da33d9-a353-4b1f-8f4e-57e29317ac98
                © 2011
                History

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